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 2 2 4 2 1 1 0 2 1 0 0 1 0 2 2 0 1 1 1 4 1 1 2 1 4 1 2 2 0 2 1 1 1 0 2 0 0 0 2 6 2 0 4 0 2 0 0 6 6 2 0 4 4 6 4 6 2 6 2 6 2 0 2 6 2 0 2 0 4 0 2 6 6 4 0 4 2 2 6 4 4 6 4 2 0 6 2 0 0 0 6 6 2 6 2 4 4 0 0 2 0 2 2 6 0 0 0 2 4 0 6 2 0 6 4 6 2 6 2 6 4 0 0 2 4 4 0 4 0 2 4 0 0 2 4 2 0 4 4 0 2 0 6 4 6 6 6 4 2 6 2 0 2 2 2 4 4 6 2 4 0 0 0 0 2 2 0 6 2 0 2 2 2 4 4 2 4 0 2 2 4 0 6 6 4 2 6 2 4 2 6 2 2 2 6 6 4 4 4 6 0 2 2 6 2 2 2 2 4 2 6 6 6 6 4 4 6 2 0 4 6 2 0 2 2 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 4 4 0 0 4 4 4 0 4 4 0 0 0 0 4 4 0 4 4 4 0 0 4 4 0 0 4 4 0 4 4 0 4 0 0 4 0 0 4 4 4 4 4 4 0 4 0 4 0 0 0 0 0 0 4 0 0 0 0 4 4 4 0 4 0 4 0 0 0 0 0 4 0 0 0 0 0 0 4 4 4 0 4 4 4 0 4 0 4 4 4 4 0 0 4 4 4 4 0 4 0 4 0 4 0 4 4 0 4 0 4 4 0 0 0 0 0 0 0 4 0 0 4 4 4 0 0 0 4 4 0 0 0 0 4 0 0 0 0 4 4 4 0 0 4 4 4 4 4 0 0 4 0 4 0 0 0 4 4 0 4 4 4 4 0 4 4 0 4 0 4 0 0 4 4 4 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 4 4 0 4 4 0 0 4 0 4 4 4 4 4 0 0 4 0 0 4 0 0 4 4 4 0 0 4 4 0 0 0 0 0 0 0 0 4 0 0 0 0 4 4 4 0 4 0 0 4 0 4 4 0 4 4 0 0 4 0 4 4 0 0 4 0 0 4 0 4 4 4 0 0 4 0 4 4 4 0 4 0 0 0 4 4 0 0 0 0 4 0 4 generates a code of length 64 over Z8 who´s minimum homogenous weight is 52. Homogenous weight enumerator: w(x)=1x^0+73x^52+72x^53+174x^54+224x^55+255x^56+420x^57+605x^58+720x^59+889x^60+1158x^61+1365x^62+1536x^63+1448x^64+1480x^65+1484x^66+1132x^67+873x^68+778x^69+521x^70+396x^71+221x^72+160x^73+158x^74+84x^75+67x^76+22x^77+35x^78+4x^79+11x^80+4x^81+8x^82+2x^84+2x^85+1x^86+1x^90 The gray image is a code over GF(2) with n=256, k=14 and d=104. This code was found by Heurico 1.16 in 16.4 seconds.