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 2 1 1 2 1 1 1 1 1 1 2 1 1 2 2 1 1 1 1 2 1 1 2 2 1 2 1 4 1 1 1 1 4 2 2 4 1 2 2 1 1 1 1 2 1 0 12 0 4 0 0 4 12 0 8 4 4 0 12 12 8 8 0 4 4 0 0 12 4 8 8 12 4 8 8 0 4 4 12 12 8 4 0 0 4 0 4 12 8 4 8 12 8 4 12 0 8 8 8 12 4 4 4 0 8 8 12 12 8 4 4 12 12 0 4 12 0 8 8 4 12 8 0 0 12 4 0 12 4 0 8 4 0 4 0 4 8 4 4 0 4 8 12 0 8 12 0 4 0 4 0 12 8 4 12 12 8 4 8 4 12 8 12 0 8 12 4 4 0 8 4 4 4 4 4 0 0 12 12 4 12 4 0 12 4 0 12 12 12 0 4 0 8 4 0 12 8 0 12 0 0 0 8 0 0 0 0 8 8 8 0 8 8 8 8 8 0 8 0 0 0 0 8 0 0 8 0 8 8 8 8 0 8 0 0 8 8 8 0 0 8 8 8 8 8 0 0 8 0 0 8 8 0 8 8 0 0 8 0 8 0 8 8 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 0 0 0 0 0 8 8 8 0 0 0 0 8 8 8 8 8 0 8 0 8 0 0 0 0 8 8 0 0 8 0 8 0 8 0 8 0 8 8 8 0 0 0 8 0 0 8 8 0 8 8 8 0 0 0 8 8 8 0 0 8 8 0 0 8 0 8 8 0 0 0 0 0 0 0 0 8 0 0 0 8 0 8 8 0 8 0 8 0 0 8 8 0 0 0 8 8 0 0 8 0 8 8 0 0 0 0 8 8 0 8 8 8 0 0 8 8 8 8 8 8 0 8 0 8 8 8 0 0 8 8 0 8 0 8 8 8 8 8 0 0 0 0 8 0 0 8 0 0 0 0 0 0 0 8 0 8 8 8 8 8 0 8 8 0 8 8 8 0 8 8 8 8 8 0 0 0 8 0 8 0 8 8 0 0 8 0 8 8 0 0 0 8 8 0 0 8 0 8 8 0 0 8 8 8 8 8 0 0 0 8 0 0 0 0 8 8 8 8 0 0 0 8 0 8 0 0 0 0 0 0 0 8 0 0 8 8 0 8 0 0 8 0 8 8 0 8 8 8 0 8 0 0 0 8 8 0 0 0 0 8 8 8 0 0 0 0 8 0 8 8 8 0 8 8 8 0 8 0 0 8 8 0 8 8 8 0 0 0 0 0 8 0 0 8 8 0 8 0 0 0 8 generates a code of length 77 over Z16 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+142x^68+8x^69+200x^70+56x^71+338x^72+136x^73+366x^74+968x^75+587x^76+2792x^77+506x^78+968x^79+346x^80+120x^81+196x^82+56x^83+164x^84+16x^85+108x^86+69x^88+30x^90+11x^92+2x^94+5x^96+1x^120 The gray image is a code over GF(2) with n=616, k=13 and d=272. This code was found by Heurico 1.16 in 2.74 seconds.