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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 2 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 2 1 1 2 2 1 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 4 4 4 4 4 4 0 4 4 4 0 4 0 4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 4 4 4 4 0 0 4 4 4 0 4 0 0 0 4 0 0 4 4 4 0 4 0 4 4 4 4 0 0 4 4 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 0 4 0 4 4 0 4 4 0 0 4 0 4 4 0 0 4 4 4 0 4 0 4 0 4 0 4 0 0 4 4 0 4 0 4 4 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 4 4 4 4 4 4 0 0 4 0 0 0 0 4 4 0 4 4 4 0 4 4 0 4 4 4 0 0 0 0 4 0 0 0 4 0 4 4 0 4 0 4 4 0 0 4 4 0 4 4 4 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 4 4 4 4 4 4 0 4 4 4 0 0 4 0 4 4 4 4 4 0 4 4 0 0 4 4 0 0 0 4 0 4 0 0 0 4 0 0 4 4 4 0 0 4 0 0 0 0 4 0 4 4 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 0 0 4 4 4 4 4 4 0 4 4 4 0 0 0 0 0 4 4 0 4 0 4 4 4 4 4 4 0 4 4 0 0 4 0 0 0 0 4 0 0 4 4 4 0 4 0 0 4 4 0 4 4 4 0 0 0 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 0 4 4 0 4 4 0 4 0 4 0 4 4 0 4 0 4 0 4 0 4 0 0 4 4 4 0 0 0 0 0 4 0 0 0 4 4 4 0 4 4 4 4 4 4 4 0 4 0 4 0 4 0 0 4 4 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 0 0 4 4 4 4 0 4 4 0 0 4 0 4 0 0 0 0 4 4 0 0 4 0 4 4 4 0 0 4 4 4 4 0 0 4 4 4 4 0 0 0 0 4 4 4 4 0 4 4 4 4 0 4 4 4 4 0 0 0 0 0 0 0 0 0 4 0 0 0 4 0 0 0 0 0 4 4 0 4 0 0 0 4 4 4 0 0 4 4 4 4 4 4 4 0 0 0 4 4 4 0 4 4 4 0 0 0 0 4 0 0 4 4 0 4 0 0 4 0 0 0 0 4 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 4 0 0 0 0 4 0 0 4 0 4 0 0 4 4 4 4 4 0 0 0 4 0 4 4 4 0 0 0 0 0 4 0 0 4 4 4 4 0 0 0 4 0 4 4 4 0 0 4 0 0 4 0 4 4 0 0 0 4 4 4 0 0 0 0 0 0 0 0 0 0 0 4 0 4 4 4 4 4 4 0 0 0 4 0 0 4 4 4 4 0 4 0 0 4 4 4 0 0 0 0 0 4 4 0 4 4 4 0 0 0 4 0 4 4 4 4 0 0 0 4 0 4 4 4 4 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 0 0 4 4 4 4 4 0 4 0 4 0 0 4 4 4 0 4 0 4 0 0 4 0 0 4 0 0 4 0 0 0 4 0 0 0 4 4 0 4 0 4 4 0 4 4 4 0 0 4 4 0 0 0 4 4 generates a code of length 74 over Z8 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+163x^56+557x^60+892x^64+1265x^68+768x^70+3232x^72+18944x^74+3279x^76+768x^78+1357x^80+879x^84+464x^88+160x^92+34x^96+4x^100+1x^136 The gray image is a code over GF(2) with n=296, k=15 and d=112. This code was found by Heurico 1.16 in 98.5 seconds.