A method for manufacturing layered tapes (T1, T2), comprising - feeding a first layer in a machine direction, the first layer comprising paired first and second strips (L1A, L1B) extending in the machine direction and arranged alongside one another in a cross direction transverse to the machine direction, - feeding a second layer in the machine direction, the second layer comprising paired third and fourth strips (L2A, L2B) extending in the machine direction and arranged alongside one another in the cross direction, - applying the second layer onto the first layer, thereby defining a first stack comprising the first strip (L1A) and the third strip (L2A), and a second stack comprising the second strip (L1B) and the fourth strip (L2B), the first stack and the second stack are arranged alongside one another in the cross direction, - feeding a third layer in the machine direction, the third layer extending in the machine direction and extending in the cross direction to overlap one of the first stack and the second stack, and at least part of the other of the first stack and the second stack, - bonding the third layer to said one of the first stack and the second stack, thereby defining a first layered tape, and taking away the first layered tape, - feeding a fourth layer in the machine direction, the fourth layer extending in the machine direction and extending in the cross direction to overlap the other of the first stack and the second stack, - bonding the fourth layer to the other of the first stack and the second stack, thereby defining a second layered tape, and taking away the second layered tape, - combining the first layered tape with the second layered tape so that the third layer of the first layered tape overlaps said other of the first stack and the second stack, and the fourth layer of the second layered tape overlaps said one of the first stack and the second stack. - feeding a first layer in a machine direction, the first layer comprising paired first and second strips (L1A, L1B) extending in the machine direction and arranged alongside one another in a cross direction transverse to the machine direction, - feeding a second layer in the machine direction, the second layer comprising paired third and fourth strips (L2A, L2B) extending in the machine direction and arranged alongside one another in the cross direction, - applying the second layer onto the first layer, thereby defining a first stack comprising the first strip (L1A) and the third strip (L2A), and a second stack comprising the second strip (L1B) and the fourth strip (L2B), the first stack and the second stack are arranged alongside one another in the cross direction, - feeding a third layer in the machine direction, the third layer extending in the machine direction and extending in the cross direction to overlap one of the first stack and the second stack, and at least part of the other of the first stack and the second stack, - bonding the third layer to said one of the first stack and the second stack, thereby defining a first layered tape, and taking away the first layered tape, - feeding a fourth layer in the machine direction, the fourth layer extending in the machine direction and extending in the cross direction to overlap the other of the first stack and the second stack, - bonding the fourth layer to the other of the first stack and the second stack, thereby defining a second layered tape, and taking away the second layered tape, - combining the first layered tape with the second layered tape so that the third layer of the first layered tape overlaps said other of the first stack and the second stack, and the fourth layer of the second layered tape overlaps said one of the first stack and the second stack.