A polymer composition comprising 94.9 to 97.49 % by weight, based on the total polymer composition; at least one block copolymer P, having one of the following formulas to: (A-B/A) n -A, X-[(B/A-A) n] m+1, Y-(B/A-A) n] m+1, wherein the abbreviations and indices have the following meaning: A is a vinyl aromatic block forming a hard phase, which is composed of at least one vinyl aromatic monomer M A, B/A is a diene block forming a soft phase, which is composed of at least one conjugated diene monomer M B and at least one vinyl aromatic monomer M A, X is the radical of an m+1-functional initiator, Y is the radical of an m+1-functional coupling agent, n is a natural number from 1 to 10, and m is a natural number from 1 to 10; 2.5 to 5 % by weight, based on the total polymer composition, at least one oil component C; wherein the oil component is one or more mineral oil, and 0.01 to 1 % by weight, one or more further components E; wherein the at least one block copolymer P comprises 40 to 75 % by weight, based on the block copolymer P, of the at least one vinyl aromatic monomer M A and 25 to 60 % by weight, based on the block copolymer P, of the at least one conjugated diene monomer M B; the glass transition temperature/s T g of the vinyl aromatic block/s A is/are above 25 °C and the glass transition temperature/s T g of the diene block/s B/A is/are below 25 °C, the proportion of the vinyl aromatic block/s forming the hard phase is from 5 to 40 % by volume, based on the total volume of block copolymer P; the relative amount of 1,2 linkages in the diene block B/A, based on the sum of 1,2-and 1,4-cis/trans-linkages, is less than or equal to 15 %; and the weight average molecular weight M w of the block copolymer P is in the range of 120,000 to 300,000 g/mol. 94.9 to 97.49 % by weight, based on the total polymer composition; at least one block copolymer P, having one of the following formulas to: (A-B/A) n -A, X-[(B/A-A) n] m+1, Y-(B/A-A) n] m+1, wherein the abbreviations and indices have the following meaning: A is a vinyl aromatic block forming a hard phase, which is composed of at least one vinyl aromatic monomer M A, B/A is a diene block forming a soft phase, which is composed of at least one conjugated diene monomer M B and at least one vinyl aromatic monomer M A, X is the radical of an m+1-functional initiator, Y is the radical of an m+1-functional coupling agent, n is a natural number from 1 to 10, and m is a natural number from 1 to 10; A is a vinyl aromatic block forming a hard phase, which is composed of at least one vinyl aromatic monomer M A, B/A is a diene block forming a soft phase, which is composed of at least one conjugated diene monomer M B and at least one vinyl aromatic monomer M A, X is the radical of an m+1-functional initiator, Y is the radical of an m+1-functional coupling agent, n is a natural number from 1 to 10, and m is a natural number from 1 to 10; 2.5 to 5 % by weight, based on the total polymer composition, at least one oil component C; wherein the oil component is one or more mineral oil, and 0.01 to 1 % by weight, one or more further components E; wherein the at least one block copolymer P comprises 40 to 75 % by weight, based on the block copolymer P, of the at least one vinyl aromatic monomer M A and 25 to 60 % by weight, based on the block copolymer P, of the at least one conjugated diene monomer M B; the glass transition temperature/s T g of the vinyl aromatic block/s A is/are above 25 °C and the glass transition temperature/s T g of the diene block/s B/A is/are below 25 °C, the proportion of the vinyl aromatic block/s forming the hard phase is from 5 to 40 % by volume, based on the total volume of block copolymer P; the relative amount of 1,2 linkages in the diene block B/A, based on the sum of 1,2-and 1,4-cis/trans-linkages, is less than or equal to 15 %; and the weight average molecular weight M w of the block copolymer P is in the range of 120,000 to 300,000 g/mol.