The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 2 2 1 1 1 1 4 2 0 2 1 2 1 1 1 1 1 4 1 1 1 2 0 1 4 1 1 0 2 1 1 4 2 2 2 1 2 1 2 1 1 0 12 0 12 0 12 0 12 0 12 0 4 12 8 0 12 4 0 8 12 4 12 0 8 12 12 12 12 8 0 12 12 0 12 12 0 12 12 4 12 0 12 12 4 12 4 0 12 8 8 0 4 4 12 12 8 12 4 12 4 12 12 12 4 0 12 0 12 8 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 8 8 0 0 0 0 0 0 0 8 8 8 0 8 8 8 8 8 0 8 0 0 0 0 0 8 8 0 0 0 8 0 8 8 0 8 8 0 8 8 8 0 8 8 0 8 0 0 8 0 0 8 0 0 8 0 0 0 0 0 0 8 0 0 0 0 0 0 0 8 8 0 0 0 8 0 0 0 8 8 8 8 8 0 8 0 8 0 0 8 0 8 0 0 0 0 0 0 8 8 0 8 8 0 8 0 0 0 0 8 0 8 8 8 0 0 8 8 0 8 8 8 0 0 0 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 8 0 8 8 8 0 0 8 8 8 8 8 8 0 8 8 0 0 8 8 8 0 8 8 8 8 0 0 0 8 0 8 0 8 8 8 8 8 8 0 8 0 8 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 8 0 0 0 8 8 8 0 0 0 8 8 0 8 0 0 8 0 8 0 0 8 8 8 8 0 0 0 8 8 8 8 8 8 0 8 0 0 0 0 8 8 8 8 0 0 0 0 0 0 8 0 8 0 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 0 8 8 8 0 8 0 0 0 8 8 0 8 8 8 8 8 8 8 8 0 0 8 0 0 8 0 8 8 0 8 0 0 0 0 0 0 0 0 8 8 0 8 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 8 0 0 8 0 8 8 8 0 8 0 0 8 8 8 0 0 8 8 8 0 8 0 0 0 8 8 0 8 8 8 0 0 8 8 8 8 8 8 0 8 8 8 8 0 0 0 0 8 0 0 0 0 8 0 0 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 0 8 0 8 8 8 8 0 8 8 0 8 8 0 0 8 0 8 8 8 8 0 8 0 8 8 0 0 8 0 0 0 0 0 8 0 8 0 0 0 8 0 8 8 0 0 0 0 0 8 8 8 0 0 0 0 0 0 0 0 0 0 0 0 8 0 8 8 0 0 8 8 0 0 8 0 8 8 8 0 0 0 8 8 8 8 8 8 8 8 8 0 0 8 0 0 0 0 0 0 0 0 8 8 0 0 0 8 8 8 8 0 0 0 8 0 8 0 0 8 8 8 8 8 8 8 0 0 0 0 0 0 0 0 0 0 8 0 0 8 8 8 8 8 8 0 8 8 0 8 0 0 0 0 0 0 0 8 0 0 8 0 8 8 0 0 8 8 8 8 8 0 8 8 8 8 0 0 0 8 8 0 8 8 0 8 0 8 0 0 8 8 8 8 8 0 0 generates a code of length 71 over Z16 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+93x^56+34x^58+336x^60+266x^62+876x^64+1128x^66+512x^67+3415x^68+2048x^69+6076x^70+3072x^71+6454x^72+2048x^73+3058x^74+512x^75+1390x^76+594x^78+502x^80+100x^82+160x^84+8x^86+69x^88+10x^92+5x^96+1x^100 The gray image is a code over GF(2) with n=568, k=15 and d=224. This code was found by Heurico 1.16 in 33 seconds.