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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 2 2 2 2 2 1 1 1 1 2 2 1 2 1 1 2 2 2 2 2 2 2 1 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 0 0 0 8 8 0 8 8 8 0 8 0 8 8 0 0 8 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 0 8 8 8 8 0 8 0 8 0 0 8 0 8 8 8 8 0 0 8 8 0 8 8 0 0 8 8 8 8 8 0 8 0 0 0 8 0 0 8 0 8 8 8 0 0 8 8 8 0 8 8 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 8 8 8 8 8 8 8 0 0 0 8 0 0 0 8 8 8 0 0 8 0 8 8 0 0 8 0 8 8 0 0 8 0 8 0 8 0 8 0 8 8 8 8 8 8 8 8 0 0 0 8 0 0 0 0 0 8 0 0 8 8 8 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 8 8 8 8 8 8 0 0 0 0 8 0 8 8 8 0 8 0 0 8 8 0 0 8 0 8 0 0 8 8 8 0 0 8 0 0 8 0 8 8 0 0 0 8 0 8 0 8 8 8 0 0 8 0 0 0 8 8 8 8 0 8 8 8 0 8 0 0 0 0 0 8 0 0 0 0 0 0 0 0 8 0 8 8 8 8 8 8 0 8 8 0 8 8 8 0 0 0 8 8 8 8 8 0 8 8 0 0 0 0 0 0 8 0 0 8 8 0 0 0 0 8 0 0 0 8 0 8 0 0 0 8 0 0 0 8 8 8 8 0 8 8 8 8 0 8 0 8 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 8 0 0 8 8 0 8 8 0 8 0 8 0 8 8 8 8 0 0 8 8 0 0 0 8 0 8 0 8 8 8 0 8 0 8 0 8 0 0 0 0 8 0 8 0 8 0 8 8 0 0 8 8 8 0 0 0 0 0 8 0 0 8 8 0 8 8 8 0 8 8 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 0 0 8 8 8 8 0 8 8 0 8 0 8 0 0 8 0 0 8 8 8 0 0 0 0 8 0 8 8 8 8 8 0 8 0 8 8 0 0 0 8 8 0 0 0 8 0 0 0 8 8 0 8 0 0 8 0 0 8 8 0 8 0 8 0 8 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 8 8 0 8 0 0 0 8 8 8 0 0 8 0 8 8 8 8 0 0 0 8 0 0 8 0 8 8 8 0 0 8 0 0 8 0 0 8 0 0 8 0 0 0 8 0 0 8 8 0 8 8 8 8 8 8 0 0 8 0 0 8 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 8 0 0 0 8 0 0 8 0 8 0 0 8 0 0 0 0 8 8 8 0 0 8 8 0 8 8 8 0 8 0 8 0 0 8 8 8 0 8 0 8 8 0 8 8 8 8 8 0 8 8 0 8 8 0 8 0 8 8 8 8 8 0 0 8 0 8 0 0 8 8 8 0 0 0 0 0 0 0 0 0 0 8 0 8 8 8 8 8 0 0 0 8 0 0 8 8 0 0 8 0 8 8 0 0 8 8 0 8 8 0 0 8 8 8 0 0 8 8 0 8 8 8 8 8 8 8 8 0 0 0 0 0 8 0 0 8 0 8 0 0 8 0 8 8 8 8 0 8 8 8 0 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 0 0 8 8 8 8 8 0 8 0 8 0 0 0 0 0 8 0 8 0 0 8 0 0 0 0 0 0 8 8 0 8 8 0 8 0 0 8 8 8 8 0 0 0 8 8 8 0 8 8 0 0 0 8 8 0 0 8 0 8 0 8 8 8 0 0 0 0 generates a code of length 84 over Z16 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+197x^68+4x^70+469x^72+34x^74+668x^76+258x^78+1031x^80+724x^82+26025x^84+744x^86+1050x^88+234x^90+652x^92+50x^94+371x^96+189x^100+52x^104+12x^108+1x^112+1x^116+1x^136 The gray image is a code over GF(2) with n=672, k=15 and d=272. This code was found by Heurico 1.16 in 55.8 seconds.