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 2 0 2 0 1 2 0 1 2 1 0 1 2 1 0 1 1 1 1 1 2 0 2 1 0 1 1 1 1 1 1 0 1 1 0 1 0 2 4 2 1 1 4 1 2 1 2 1 1 0 2 0 6 0 6 0 6 0 6 0 6 4 6 6 0 6 0 0 2 2 0 4 4 6 2 6 2 6 6 2 6 6 2 2 0 6 0 2 6 0 6 6 0 6 2 6 0 2 4 2 0 2 4 6 2 6 0 2 2 2 6 2 4 6 0 0 4 6 6 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 4 4 0 4 0 0 4 0 4 0 4 0 0 0 4 4 4 4 0 4 4 0 0 0 0 0 4 4 0 4 4 4 0 0 0 4 4 0 0 0 4 4 0 0 4 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 4 0 4 4 0 4 4 4 4 0 0 4 4 4 4 0 4 4 4 0 0 0 0 4 0 4 0 4 4 4 0 4 4 0 0 0 0 4 4 0 0 4 0 4 0 4 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 4 4 4 0 4 4 0 4 4 0 0 4 0 4 0 4 4 0 4 0 0 4 0 0 4 4 4 0 4 4 4 0 0 0 0 4 0 0 4 4 0 4 0 0 0 0 4 4 0 0 4 4 4 0 4 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 0 4 4 0 0 0 4 0 0 0 4 4 0 4 4 0 4 0 4 4 0 0 0 4 0 0 4 4 0 4 4 4 0 4 4 0 4 0 4 0 0 4 0 0 0 4 4 0 4 0 0 4 0 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 4 4 0 4 4 4 0 0 4 4 4 4 0 4 0 0 4 0 0 4 4 0 0 0 0 4 0 0 0 0 0 4 0 0 4 0 0 4 4 4 4 0 4 0 0 4 0 4 4 0 4 0 0 4 4 0 4 4 4 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 4 4 4 4 4 4 4 4 0 0 4 4 4 4 0 0 4 0 4 4 4 0 4 4 0 0 0 4 0 4 4 0 4 4 4 0 0 0 4 4 4 0 0 4 4 0 0 0 0 0 0 0 0 4 0 0 0 4 4 0 4 4 4 0 0 0 4 4 4 0 4 4 4 0 0 0 0 0 4 0 4 4 0 4 4 0 0 0 0 0 4 4 4 4 4 0 4 4 0 4 4 4 4 0 0 0 4 0 4 4 4 4 4 0 4 4 4 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 4 4 4 4 4 0 4 0 4 4 0 4 0 4 0 4 4 4 0 4 4 0 4 0 4 4 0 4 0 0 4 4 4 0 4 4 0 4 0 0 4 0 4 0 0 4 4 0 4 0 0 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 4 4 4 0 4 0 4 4 4 0 0 0 0 0 4 4 4 0 4 4 4 4 0 4 0 4 0 0 0 0 0 0 0 4 0 0 4 0 0 4 0 0 4 0 0 0 4 4 4 4 4 0 0 0 0 0 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 4 4 4 4 4 0 4 4 0 4 4 0 0 0 0 0 0 4 4 4 0 4 4 0 4 0 0 4 0 0 0 4 0 0 4 0 4 4 0 0 4 4 0 0 4 0 0 0 4 0 4 0 0 0 0 4 4 0 0 generates a code of length 73 over Z8 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+112x^56+30x^58+439x^60+208x^62+32x^63+927x^64+224x^65+754x^66+800x^67+1783x^68+1920x^69+1592x^70+3264x^71+2496x^72+3904x^73+1878x^74+3264x^75+2266x^76+1920x^77+1168x^78+800x^79+1348x^80+224x^81+406x^82+32x^83+562x^84+104x^86+224x^88+4x^90+63x^92+12x^96+7x^100 The gray image is a code over GF(2) with n=292, k=15 and d=112. This code was found by Heurico 1.16 in 78.7 seconds.