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 8 2 2 1 8 1 8 2 1 2 1 0 1 1 0 1 1 1 4 1 2 4 12 1 1 1 1 1 2 0 1 1 2 1 1 12 1 1 1 1 1 2 12 4 2 1 1 1 1 4 1 1 1 2 1 2 2 0 1 1 1 0 2 0 6 0 6 8 10 8 6 8 2 0 14 2 0 4 6 4 6 12 2 12 10 8 6 10 8 2 6 6 6 2 8 2 14 12 6 4 2 0 14 2 0 14 14 2 4 6 2 2 14 12 8 14 14 14 2 10 2 14 0 2 2 4 8 14 12 8 10 2 4 2 4 14 12 14 2 10 4 4 2 14 4 10 0 14 6 0 0 0 12 0 0 0 12 0 0 0 8 0 12 0 0 12 0 12 12 12 8 4 4 4 8 12 4 4 12 0 12 4 12 8 12 4 0 4 12 4 12 0 8 8 4 12 4 4 12 8 8 12 4 4 0 8 12 0 12 12 0 8 8 0 12 0 12 0 4 0 0 8 4 4 4 4 8 4 12 12 0 8 8 12 8 4 12 12 12 0 0 0 12 0 0 0 4 0 0 0 8 0 4 4 8 4 8 12 12 12 12 12 0 4 8 8 12 4 8 4 4 0 4 0 4 0 0 8 12 4 12 0 4 4 4 8 12 12 12 8 0 4 8 12 8 0 8 8 4 8 8 4 4 12 12 8 8 12 8 8 8 8 8 4 4 8 4 8 8 0 0 8 4 8 0 0 0 12 0 0 0 0 12 0 4 0 8 4 4 4 4 12 12 0 0 8 4 8 0 12 8 12 12 8 12 4 4 8 4 0 0 4 4 8 4 4 12 8 0 0 4 0 4 12 12 4 0 12 4 8 0 0 4 8 12 4 12 8 12 4 0 12 8 4 12 0 0 0 0 12 8 4 4 8 4 4 12 0 8 4 8 0 8 12 12 0 0 0 0 0 0 0 12 0 12 12 4 4 0 4 0 4 12 8 4 12 8 12 0 4 4 12 8 0 0 8 8 12 4 8 8 12 12 0 0 8 0 0 4 4 12 12 8 4 8 8 12 12 8 0 12 12 8 8 8 12 4 4 12 0 8 12 4 0 4 8 8 12 12 12 12 8 8 12 4 0 4 8 8 12 8 0 12 0 4 8 generates a code of length 89 over Z16 who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+60x^78+158x^79+262x^80+390x^81+542x^82+890x^83+1342x^84+1778x^85+2405x^86+3136x^87+3710x^88+3782x^89+3534x^90+3094x^91+2459x^92+1834x^93+1186x^94+792x^95+499x^96+268x^97+202x^98+140x^99+78x^100+68x^101+57x^102+42x^103+32x^104+8x^105+8x^106+4x^107+1x^108+3x^110+2x^114+1x^126 The gray image is a code over GF(2) with n=712, k=15 and d=312. This code was found by Heurico 1.16 in 33.9 seconds.