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 2 0 1 2 1 12 1 2 0 1 12 1 2 1 1 2 1 0 1 2 12 1 1 1 1 0 1 1 1 1 1 1 1 2 12 1 1 0 1 2 12 2 2 1 1 2 1 0 1 2 2 2 1 1 1 1 1 0 0 1 0 0 1 1 0 2 12 6 0 6 12 10 0 6 12 10 4 14 0 10 10 8 6 12 0 10 12 6 14 6 2 10 10 0 2 12 6 2 6 2 0 10 12 10 6 10 2 0 10 2 10 12 6 2 2 12 2 4 6 0 0 10 6 2 12 6 2 10 6 2 10 6 12 0 6 2 2 2 10 6 6 8 4 14 2 10 2 2 2 2 2 6 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 8 8 0 0 8 8 0 8 8 0 8 8 0 0 0 8 0 0 8 8 0 8 8 8 8 8 8 0 8 8 8 8 0 0 8 0 8 0 0 0 8 8 0 8 8 0 0 8 0 8 8 8 0 0 8 0 8 8 8 0 0 8 8 8 8 8 0 8 8 8 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 8 8 8 8 0 0 8 8 8 0 8 8 8 0 8 8 8 8 8 8 0 0 0 8 8 0 8 8 0 0 0 0 0 8 0 0 0 8 0 8 8 8 0 8 8 8 8 0 8 0 0 0 0 8 0 0 8 8 8 8 8 8 8 8 0 8 0 0 0 0 0 0 8 0 0 0 0 0 8 0 8 0 0 0 0 8 8 8 0 8 8 0 8 8 8 0 0 0 8 0 0 8 0 0 8 8 8 0 0 8 0 0 8 8 0 8 0 8 0 8 0 0 8 8 0 8 0 0 0 0 8 0 0 8 0 8 8 0 8 8 8 8 8 0 0 8 8 8 8 0 8 0 8 8 8 8 8 0 0 0 0 0 8 0 0 0 0 0 0 0 8 0 8 8 0 8 8 8 0 8 0 0 8 8 8 8 8 0 0 0 8 8 8 8 8 8 8 0 8 0 0 0 0 0 0 8 8 0 0 0 8 0 0 8 0 8 0 8 0 8 8 0 8 8 8 8 0 8 0 8 0 0 8 8 8 0 8 0 0 8 0 8 8 8 8 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 8 0 0 8 0 0 8 0 8 0 0 8 8 0 8 8 0 0 0 0 0 8 0 8 0 8 0 8 0 8 0 8 8 8 8 8 8 8 8 8 0 0 0 8 8 0 0 0 0 0 0 8 0 8 0 8 8 0 0 8 8 0 0 8 0 8 8 8 0 8 8 0 0 0 8 0 0 0 0 0 0 0 8 0 0 0 8 0 0 8 8 0 8 8 8 8 8 0 0 8 0 8 8 8 0 0 8 8 8 8 0 8 8 0 0 8 0 0 8 0 0 0 8 0 0 0 8 8 8 0 8 0 8 8 8 8 0 0 8 8 8 8 0 8 8 8 8 0 0 0 8 0 0 0 0 0 8 8 8 8 0 0 0 8 0 0 0 0 0 0 0 0 8 0 8 0 8 0 8 8 8 0 8 0 8 8 8 0 8 0 0 8 0 0 0 8 0 0 8 0 8 8 8 8 8 0 8 0 8 8 8 0 0 8 8 8 0 8 8 8 8 8 0 8 8 8 0 8 0 8 0 0 8 0 8 0 8 8 0 8 0 0 0 0 0 8 0 0 0 8 8 0 8 0 0 0 0 0 0 0 0 0 8 0 8 0 8 8 0 8 8 8 0 0 8 0 8 0 8 8 8 0 0 8 0 0 0 0 0 8 8 8 8 8 0 0 8 0 8 0 8 8 8 8 0 8 8 8 0 0 0 8 0 0 0 0 8 8 0 0 0 0 8 0 8 8 0 8 8 0 8 8 8 0 0 8 0 0 0 0 0 0 generates a code of length 89 over Z16 who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+53x^76+16x^77+103x^78+106x^79+250x^80+320x^81+549x^82+754x^83+1334x^84+1552x^85+3059x^86+2212x^87+4955x^88+2368x^89+4945x^90+2212x^91+3026x^92+1552x^93+1293x^94+754x^95+511x^96+320x^97+207x^98+106x^99+70x^100+16x^101+38x^102+20x^104+24x^106+13x^108+18x^110+6x^112+2x^114+1x^118+1x^120+1x^122 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 35 seconds.