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 2 2 1 1 1 1 1 1 1 1 2 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 4 4 2 0 12 0 4 0 0 4 12 0 0 4 12 0 0 4 12 0 0 4 12 0 0 4 12 0 0 0 0 8 8 12 4 4 12 4 12 4 12 8 8 8 8 8 8 12 8 4 8 8 12 4 8 8 12 4 8 8 12 4 8 8 12 4 8 8 12 4 0 0 4 12 8 12 8 4 4 4 12 4 12 12 0 0 12 4 0 12 4 0 0 12 4 0 0 12 4 0 8 4 12 8 8 4 12 8 8 4 8 4 4 4 12 8 12 12 12 8 8 8 4 8 4 8 4 8 12 4 8 8 4 12 8 0 12 4 0 0 12 4 0 0 12 4 0 0 12 4 0 0 12 4 0 8 12 4 12 4 12 4 12 8 0 0 0 0 8 0 0 8 0 8 8 0 8 8 8 0 8 8 8 8 8 8 8 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 0 0 0 0 0 0 0 0 0 0 0 0 8 8 8 0 8 8 8 0 0 8 0 0 0 0 8 8 8 8 8 8 0 8 0 0 8 0 0 0 0 0 8 8 8 8 8 8 0 0 0 8 0 0 0 8 8 0 8 8 8 0 0 8 8 8 8 8 8 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 8 0 0 0 0 0 0 0 8 0 8 0 8 0 0 8 0 8 0 generates a code of length 81 over Z16 who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+103x^78+64x^79+223x^80+256x^81+235x^82+64x^83+43x^84+29x^86+4x^88+1x^90+1x^148 The gray image is a code over GF(2) with n=648, k=10 and d=312. This code was found by Heurico 1.16 in 80.9 seconds.