The generator matrix 1 0 1 1 1 6 1 1 0 6 1 1 1 1 14 8 1 1 1 0 1 6 1 1 4 1 1 1 1 14 1 1 0 1 1 10 1 1 14 0 1 1 1 12 1 1 1 8 12 1 10 1 1 1 1 4 6 1 1 10 1 8 10 1 1 1 1 10 1 4 1 14 1 6 1 1 14 1 1 0 1 1 1 1 1 10 1 1 1 0 1 11 6 1 1 0 11 1 1 13 14 8 3 1 1 9 12 10 1 9 1 6 11 1 6 3 1 8 1 13 15 1 0 10 1 4 7 1 1 6 15 13 1 1 10 1 1 1 7 1 8 9 6 4 1 1 6 14 1 0 1 1 9 3 12 9 1 6 2 12 1 7 1 12 0 1 7 7 4 11 15 4 10 9 1 8 0 3 0 0 12 0 0 0 0 0 0 8 4 4 12 8 0 4 12 4 0 4 0 12 12 4 8 12 0 12 8 4 0 4 4 4 4 12 8 8 4 12 0 12 8 4 12 0 12 8 12 12 12 4 0 12 4 0 0 4 8 12 0 8 12 12 8 0 0 0 12 4 4 8 8 0 12 4 4 4 8 12 4 4 8 4 4 4 8 0 0 0 0 0 12 0 0 12 8 4 12 0 12 4 4 8 8 12 8 8 4 12 4 8 4 12 12 4 12 8 12 4 0 12 12 4 0 8 8 8 12 8 4 4 0 0 0 8 4 4 0 0 8 8 0 12 0 8 0 12 0 4 0 8 4 4 0 0 12 0 0 12 8 0 12 12 4 4 8 0 0 8 8 4 8 4 8 4 8 12 0 0 0 0 4 0 0 12 12 12 8 12 12 12 4 0 8 4 8 0 4 8 12 12 8 0 8 4 4 12 0 4 12 8 8 12 4 4 0 0 0 0 8 4 0 8 4 0 0 4 12 0 8 12 4 12 8 12 12 4 12 12 0 0 8 12 0 12 8 12 0 4 8 0 8 4 12 12 12 0 0 8 12 4 12 12 0 8 12 0 0 0 0 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 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 0 0 0 8 0 8 0 0 8 8 0 0 0 8 8 0 8 8 0 8 8 8 8 8 8 0 8 8 8 8 0 0 0 0 0 0 8 8 8 0 8 8 0 8 0 8 8 8 8 8 0 0 0 0 0 0 8 8 8 8 0 8 0 8 0 0 0 8 0 8 0 8 8 8 0 0 0 8 0 8 8 0 0 0 8 0 8 8 8 0 0 0 8 0 0 0 8 8 0 8 0 8 8 8 8 0 8 8 0 0 0 8 8 0 0 0 0 0 0 generates a code of length 89 over Z16 who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+58x^78+156x^79+215x^80+508x^81+869x^82+1476x^83+2236x^84+3636x^85+5353x^86+6478x^87+7805x^88+8258x^89+7582x^90+6726x^91+5326x^92+3488x^93+2262x^94+1372x^95+687x^96+402x^97+196x^98+136x^99+79x^100+74x^101+52x^102+34x^103+27x^104+16x^105+8x^106+6x^107+6x^108+2x^109+2x^110+1x^112+1x^114+1x^116+1x^118 The gray image is a code over GF(2) with n=712, k=16 and d=312. This code was found by Heurico 1.16 in 81.1 seconds.