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 2 2 1 2 2 2 2 1 2 2 4 1 1 8 2 2 2 2 2 4 1 4 1 1 1 1 0 1 2 1 1 1 1 2 1 1 1 4 0 2 4 2 4 1 0 12 0 0 0 0 0 0 0 0 0 8 8 4 4 4 4 4 12 4 0 12 4 12 0 8 12 4 4 4 12 0 12 12 12 12 8 4 0 8 12 4 4 4 0 4 12 12 0 8 12 4 8 4 0 4 8 12 0 4 12 8 12 8 8 0 8 12 0 8 0 4 8 12 4 0 12 8 12 8 8 4 12 0 8 0 0 0 0 0 0 12 0 0 0 0 0 0 0 4 4 4 0 12 4 12 8 8 4 4 0 8 4 4 4 12 8 4 12 0 4 12 8 4 8 12 0 8 8 12 12 0 8 0 8 12 4 4 4 12 0 12 12 4 8 8 0 0 0 12 0 12 12 4 8 0 8 8 0 4 12 8 0 8 8 8 8 0 0 12 8 8 4 8 8 4 0 0 0 0 0 12 0 0 0 4 12 12 4 4 0 8 0 0 12 12 12 12 12 8 8 0 8 8 12 4 0 4 12 12 4 4 0 0 4 12 8 4 12 8 0 12 4 8 0 4 12 0 12 4 12 4 4 12 8 8 8 12 12 4 0 8 12 4 4 0 12 8 4 4 4 0 8 8 0 8 12 8 12 0 4 4 12 12 12 4 0 0 0 0 0 12 0 4 4 4 0 8 0 8 8 12 4 4 0 4 8 4 4 4 8 4 4 12 4 8 0 8 12 4 8 12 12 4 0 12 4 12 8 0 4 8 0 12 0 8 12 4 4 0 0 8 0 8 8 4 0 8 4 12 4 4 12 8 8 8 0 12 0 4 8 12 8 4 8 8 8 8 4 0 4 4 8 8 12 0 0 0 0 0 0 12 4 8 4 4 0 4 4 4 12 8 8 8 4 4 12 12 0 12 4 8 12 0 0 8 12 0 4 0 4 4 4 12 0 4 0 4 12 4 0 4 0 12 8 12 4 12 12 12 8 8 0 8 4 4 8 4 8 8 0 8 8 0 12 12 12 0 12 4 4 0 0 0 0 0 4 8 4 0 8 4 8 0 0 0 0 0 0 0 0 8 8 0 8 8 0 8 8 8 0 8 8 8 8 8 0 8 0 0 8 0 0 8 0 0 0 8 0 0 8 0 8 8 8 0 8 0 0 8 8 0 0 0 8 0 8 8 8 8 0 8 8 8 8 0 0 8 8 8 0 0 0 0 8 8 0 0 8 0 8 8 0 8 8 8 0 0 0 0 0 8 8 0 generates a code of length 89 over Z16 who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+57x^76+104x^77+232x^78+256x^79+303x^80+384x^81+463x^82+706x^83+984x^84+1500x^85+2157x^86+3086x^87+4070x^88+4316x^89+4108x^90+3234x^91+2099x^92+1410x^93+832x^94+658x^95+422x^96+354x^97+272x^98+196x^99+202x^100+98x^101+103x^102+40x^103+52x^104+26x^105+20x^106+16x^107+2x^108+3x^110+1x^114+1x^126 The gray image is a code over GF(2) with n=712, k=15 and d=304. This code was found by Heurico 1.16 in 42.6 seconds.