Thermoplastic elastomer composition comprising components a), b) and c): a) 97.1 to 90.9 wt.-% of at least one star-shaped block copolymer A of the structure [S 1 -(S/B) k -(S/B) l -(S/B) m -S 2] n -X, where S 1 and S 2 are polymer blocks made from at least one vinylaromatic monomer and S/B are random copolymer blocks made from at least one vinylaromatic monomer and at least one diene forming a soft phase; X is a coupling center derived from a polyfunctional coupling agent; b) 2.9 to 9.1 wt.-% of at least one plasticizer B, preferably mineral oil; and c) 0 to 2 wt.-% of further additives C; wherein the sum of components a), b) and c) is 100 wt.-%; the arms S 1 -(S/B) k (S/B) l (S/B) m -S 2 are identical; the proportion of the blocks S 1 and S 2 (forming a hard phase), based on the entire block copolymer A, is from 24 to 40 wt.-%; the vinylaromatic monomer/diene (=S/B) ratio of all of the blocks (S/B) is from 1/0.45 to 1/2.5; the S/B-ratio of the blocks (S/B) k, (S/B) l and (S/B) m is different from each other; the S/B-ratio of the blocks (S/B) k and (S/B) m is lower than the S/B-ratio of the block(s) (S/B) l; the weight ratio of blocks S2/S1 is from 0.1 to 0.8; and the weight average molar mass M w of the block copolymer A is from 200.000 to 350.000 g/mol; n is a natural number from 3 to 8; k, m are 1; and I is a natural number of at least 1. a) 97.1 to 90.9 wt.-% of at least one star-shaped block copolymer A of the structure [S 1 -(S/B) k -(S/B) l -(S/B) m -S 2] n -X, where S 1 and S 2 are polymer blocks made from at least one vinylaromatic monomer and S/B are random copolymer blocks made from at least one vinylaromatic monomer and at least one diene forming a soft phase; X is a coupling center derived from a polyfunctional coupling agent; b) 2.9 to 9.1 wt.-% of at least one plasticizer B, preferably mineral oil; and c) 0 to 2 wt.-% of further additives C; wherein the sum of components a), b) and c) is 100 wt.-%; the arms S 1 -(S/B) k (S/B) l (S/B) m -S 2 are identical; the proportion of the blocks S 1 and S 2 (forming a hard phase), based on the entire block copolymer A, is from 24 to 40 wt.-%; the vinylaromatic monomer/diene (=S/B) ratio of all of the blocks (S/B) is from 1/0.45 to 1/2.5; the S/B-ratio of the blocks (S/B) k, (S/B) l and (S/B) m is different from each other; the S/B-ratio of the blocks (S/B) k and (S/B) m is lower than the S/B-ratio of the block(s) (S/B) l; the weight ratio of blocks S2/S1 is from 0.1 to 0.8; and the weight average molar mass M w of the block copolymer A is from 200.000 to 350.000 g/mol; n is a natural number from 3 to 8; k, m are 1; and I is a natural number of at least 1. wherein the sum of components a), b) and c) is 100 wt.-%; the arms S 1 -(S/B) k (S/B) l (S/B) m -S 2 are identical; the proportion of the blocks S 1 and S 2 (forming a hard phase), based on the entire block copolymer A, is from 24 to 40 wt.-%; the vinylaromatic monomer/diene (=S/B) ratio of all of the blocks (S/B) is from 1/0.45 to 1/2.5; the S/B-ratio of the blocks (S/B) k, (S/B) l and (S/B) m is different from each other; the S/B-ratio of the blocks (S/B) k and (S/B) m is lower than the S/B-ratio of the block(s) (S/B) l; the weight ratio of blocks S2/S1 is from 0.1 to 0.8; and the weight average molar mass M w of the block copolymer A is from 200.000 to 350.000 g/mol; n is a natural number from 3 to 8; k, m are 1; and I is a natural number of at least 1.