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 2 1 1 1 2 2 4 2 0 1 1 1 4 2 1 1 1 0 1 1 4 2 0 1 1 4 1 1 1 0 1 1 4 0 4 4 1 2 1 1 1 2 1 2 2 0 12 0 12 0 12 0 12 0 12 0 4 12 8 0 8 12 4 12 12 4 0 0 8 0 8 12 12 0 0 4 12 12 12 12 0 12 12 12 12 12 4 0 4 0 12 12 8 12 12 4 4 0 12 12 4 4 4 12 4 12 0 4 4 4 12 4 8 0 4 8 0 8 8 12 0 12 0 0 0 8 0 0 0 0 0 0 0 0 0 0 8 8 8 0 0 8 8 8 0 8 8 0 8 0 8 0 8 0 0 8 8 0 0 0 8 0 0 8 8 0 8 8 8 8 0 0 8 8 8 0 0 0 8 0 8 8 8 0 8 8 8 8 8 0 0 8 0 8 8 8 0 0 8 8 8 0 0 0 8 0 0 0 0 0 0 0 8 8 0 0 0 0 8 8 0 8 0 0 0 8 8 0 8 8 8 0 8 8 0 8 0 0 0 8 8 0 0 0 8 8 8 8 0 0 0 8 8 8 0 0 0 0 8 8 8 0 0 0 0 8 0 8 0 0 8 8 0 8 8 0 8 8 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 8 8 8 8 0 8 0 8 8 8 8 8 8 0 8 8 8 8 0 8 0 0 0 8 8 8 0 8 0 8 8 8 0 8 0 8 0 8 8 8 8 8 8 0 8 8 0 0 8 0 0 0 0 0 0 8 0 0 0 0 0 0 8 0 0 0 0 8 0 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 8 8 8 0 8 0 8 0 0 8 0 8 8 8 8 8 8 8 8 0 8 0 0 8 0 8 0 8 8 8 8 0 8 8 8 8 8 8 0 8 0 0 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 8 8 8 0 8 8 0 8 8 8 8 8 0 0 0 0 8 0 0 8 0 8 0 0 8 8 8 0 0 8 8 8 0 8 8 8 0 8 8 0 0 0 0 8 8 0 8 0 0 0 8 8 0 0 0 0 8 8 8 8 8 0 8 0 0 0 0 0 0 0 8 0 0 0 0 8 0 0 0 8 0 8 8 8 0 0 0 0 0 0 8 0 0 0 0 0 0 8 8 8 8 0 8 0 8 8 8 8 0 8 8 0 8 0 0 0 8 8 0 8 0 0 8 0 0 8 8 0 8 8 8 0 0 0 8 8 0 8 8 8 8 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 8 8 8 8 0 0 8 0 0 8 0 8 8 8 0 0 8 8 8 8 8 0 0 8 8 0 8 8 0 8 8 0 0 0 8 8 0 8 0 8 0 0 0 8 0 8 0 8 0 0 0 0 8 8 0 8 8 8 8 8 8 0 8 0 0 0 0 0 0 0 0 0 8 0 8 8 0 0 0 8 8 8 0 0 8 8 8 0 0 8 0 8 0 8 0 0 8 0 0 0 0 0 8 8 0 0 8 0 0 8 8 0 0 0 8 8 8 8 0 8 0 8 0 8 8 8 0 0 0 8 8 0 8 0 8 8 0 8 8 0 0 0 0 0 0 0 0 0 0 0 0 8 0 0 8 8 0 0 0 0 0 0 8 8 0 0 8 8 8 0 0 8 0 8 0 0 8 0 8 8 8 8 8 8 0 0 0 0 8 0 8 0 8 0 0 8 8 8 8 0 0 0 0 0 8 8 0 0 0 0 8 0 8 8 8 0 0 8 8 generates a code of length 78 over Z16 who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+153x^64+70x^66+498x^68+518x^70+1250x^72+512x^73+1702x^74+2560x^75+2737x^76+5120x^77+2586x^78+5120x^79+2772x^80+2560x^81+1714x^82+512x^83+1186x^84+506x^86+378x^88+66x^90+170x^92+6x^94+54x^96+16x^100+1x^108 The gray image is a code over GF(2) with n=624, k=15 and d=256. This code was found by Heurico 1.16 in 39.2 seconds.