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 2 2 2 2 2 1 2 2 4 1 2 1 2 4 1 1 2 1 2 1 8 1 1 1 8 1 1 4 1 1 0 1 2 2 1 2 4 4 0 12 0 0 0 0 0 0 0 12 4 12 12 4 8 8 8 12 12 12 8 4 4 8 12 0 0 4 12 4 4 8 0 8 12 8 0 12 0 12 12 0 0 4 0 12 12 4 4 12 8 4 12 0 12 0 0 12 8 8 4 4 4 12 0 8 4 0 12 8 0 4 0 8 8 12 8 0 0 0 12 0 0 0 4 12 4 4 4 8 0 8 4 4 8 12 12 4 12 12 12 0 8 12 12 4 8 0 8 8 4 0 4 12 0 0 0 8 0 0 8 0 0 12 4 4 0 8 4 12 12 8 0 8 4 8 12 8 4 0 12 8 0 12 4 4 12 12 4 4 4 4 4 4 8 4 0 0 0 12 0 4 4 4 8 4 0 12 4 8 12 0 8 4 8 0 8 8 12 12 8 4 8 4 4 4 8 0 4 4 0 8 12 8 12 4 12 12 4 8 0 4 8 8 4 12 0 8 0 12 4 4 0 4 0 0 0 0 12 0 4 12 0 0 12 0 8 8 12 12 8 4 0 4 0 0 0 0 12 4 0 4 4 8 0 8 12 4 8 0 4 4 0 12 12 0 8 4 8 4 4 12 0 12 4 0 8 12 4 8 4 4 0 8 12 0 0 12 12 0 12 8 8 4 4 4 12 12 8 8 4 0 4 0 8 8 0 0 4 4 0 12 12 0 8 12 4 8 0 8 12 8 0 0 0 0 0 8 0 0 8 0 8 8 8 0 8 8 8 8 0 0 0 0 0 8 8 0 8 0 0 8 8 0 0 0 8 8 0 8 8 8 0 8 0 0 8 8 0 8 0 0 0 0 8 0 8 8 8 0 8 8 0 0 0 8 8 8 8 0 0 8 0 8 8 0 0 0 0 8 0 0 0 0 0 0 8 0 0 0 0 0 0 8 0 8 8 8 0 8 0 8 8 8 8 8 8 0 0 8 0 8 0 0 0 0 8 8 0 8 8 8 8 8 8 0 8 8 0 0 8 0 0 0 8 8 8 8 0 0 0 8 0 0 8 0 8 8 0 8 8 0 0 0 8 8 8 0 generates a code of length 78 over Z16 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+198x^68+383x^70+112x^71+537x^72+296x^73+707x^74+1376x^75+896x^76+3424x^77+879x^78+3096x^79+904x^80+1576x^81+586x^82+272x^83+468x^84+80x^85+229x^86+8x^87+189x^88+83x^90+54x^92+13x^94+16x^96+1x^112 The gray image is a code over GF(2) with n=624, k=14 and d=272. This code was found by Heurico 1.16 in 9.97 seconds.