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 2 1 2 1 2 1 1 1 1 2 1 1 1 1 1 2 1 2 1 1 1 1 1 1 1 1 1 2 1 2 1 1 1 2 1 1 1 1 1 1 2 1 1 2 0 8 0 0 0 0 0 0 0 0 8 0 8 8 0 8 8 0 0 8 8 0 0 0 0 0 0 8 0 8 8 0 0 8 8 8 8 0 8 8 8 0 8 0 0 8 0 0 0 8 8 8 8 8 8 8 0 0 8 0 8 0 8 0 0 0 0 0 0 8 0 0 8 0 8 0 8 0 0 8 0 0 0 0 0 0 0 8 8 8 0 8 8 0 0 8 8 0 0 0 8 0 0 0 0 8 8 8 8 8 0 8 0 8 0 0 0 8 0 0 0 8 0 8 8 0 8 0 8 0 0 8 8 0 8 0 0 0 8 8 8 8 0 8 0 8 8 8 0 0 0 8 0 0 0 0 0 8 0 0 0 0 0 8 0 8 0 8 8 0 8 0 8 8 8 8 8 0 0 8 8 8 0 0 8 8 0 0 8 8 8 8 0 0 0 0 0 0 0 0 8 8 0 0 8 0 0 0 0 0 8 0 8 8 0 0 8 8 8 0 8 0 8 8 8 0 0 8 8 0 8 0 0 0 0 8 0 0 0 0 8 0 0 0 0 8 8 8 0 0 0 0 8 8 8 0 8 0 8 0 8 8 8 8 8 0 8 8 0 8 0 0 0 8 8 0 8 0 0 8 8 0 8 0 0 0 0 8 0 0 8 0 8 0 8 8 8 8 8 0 0 0 0 0 8 8 0 0 0 0 0 0 0 8 0 0 0 8 0 0 8 8 8 8 0 8 8 0 8 0 0 0 0 8 0 0 8 0 0 0 8 8 8 8 8 8 8 0 0 0 0 8 0 0 8 0 8 0 0 8 8 8 8 8 0 8 8 0 8 8 0 8 0 0 0 8 0 0 0 8 8 0 0 8 8 0 0 0 0 0 0 8 0 0 8 0 8 8 0 0 0 0 0 0 0 8 8 8 8 8 8 0 0 8 8 0 8 0 8 8 8 8 8 0 8 8 8 8 0 8 8 8 8 0 8 8 8 0 8 0 8 0 8 8 8 0 8 8 8 8 8 0 8 0 0 0 8 8 8 8 0 0 0 0 0 0 0 0 0 8 0 8 8 8 0 0 0 8 8 8 8 0 8 8 0 8 8 8 8 0 8 0 8 8 8 0 8 0 8 0 8 8 0 0 0 0 0 8 8 0 8 8 8 0 0 8 8 8 0 0 0 8 0 0 8 8 0 8 8 0 0 8 0 0 8 8 8 8 0 0 0 0 0 0 0 0 0 8 8 8 0 0 8 0 0 0 0 8 0 0 8 8 8 8 0 8 8 0 0 0 8 8 8 8 8 8 8 8 0 0 8 8 8 0 0 0 8 0 8 8 0 8 8 8 8 0 0 0 0 8 0 0 8 8 8 8 0 0 8 8 8 0 0 0 8 0 generates a code of length 77 over Z16 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+112x^68+12x^70+141x^72+124x^74+178x^76+3072x^77+100x^78+177x^80+20x^82+78x^84+39x^88+30x^92+10x^96+1x^100+1x^132 The gray image is a code over GF(2) with n=616, k=12 and d=272. This code was found by Heurico 1.16 in 3.97 seconds.