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 2 2 2 1 2 4 2 2 2 1 1 2 1 1 2 2 1 1 1 1 1 1 1 1 2 2 1 1 1 1 2 1 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 0 0 8 8 8 0 8 8 8 0 8 8 8 8 8 8 8 8 8 0 0 8 8 8 0 0 8 0 0 0 8 0 0 8 0 8 0 8 8 8 8 8 8 0 0 0 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 0 8 8 8 0 8 8 0 0 8 8 8 0 0 0 8 0 8 8 0 8 8 8 8 8 0 8 8 0 0 8 0 0 8 0 8 8 8 0 0 8 8 8 8 8 8 8 8 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 0 8 8 8 0 8 0 8 8 0 8 0 0 8 8 8 0 8 0 8 0 0 8 0 0 0 0 8 8 0 0 8 8 8 0 0 8 0 8 0 0 0 0 0 0 8 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 8 0 0 0 0 8 0 8 0 0 8 0 0 8 8 8 8 8 8 0 8 8 8 8 8 0 0 8 8 8 0 8 0 0 0 8 8 0 8 0 8 0 0 8 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 0 0 0 8 8 0 8 8 8 0 8 0 0 0 0 8 0 0 0 8 0 0 8 8 0 8 0 8 0 8 0 0 0 8 0 8 8 8 0 0 8 0 0 8 0 8 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 0 0 8 8 8 8 0 8 8 8 8 8 8 8 0 0 0 0 0 0 0 0 0 8 8 0 0 8 0 0 0 0 0 8 8 8 0 0 8 0 8 8 0 0 8 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 8 8 8 8 0 0 0 0 8 8 8 8 0 0 8 8 0 0 8 0 8 0 0 8 0 0 8 0 0 0 8 8 8 0 8 0 8 0 0 0 0 8 0 0 8 8 0 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 8 0 0 0 8 8 8 8 0 8 0 0 8 8 8 8 8 0 0 8 0 8 8 0 0 0 0 0 0 8 0 8 8 0 0 0 0 8 8 8 8 0 8 0 0 8 8 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 0 0 8 0 0 0 8 0 8 8 0 8 8 0 0 0 8 8 8 0 0 8 8 0 8 0 0 8 0 8 0 8 0 0 8 8 8 8 8 8 8 8 0 0 0 8 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 8 8 0 0 0 8 0 0 8 0 0 8 8 8 0 0 8 0 8 0 8 0 8 0 8 8 8 0 0 0 8 0 0 0 0 8 8 0 0 0 8 0 0 8 0 0 8 8 generates a code of length 86 over Z16 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+187x^72+271x^76+50x^78+480x^80+250x^82+615x^84+2048x^85+8612x^86+2048x^87+675x^88+260x^90+379x^92+42x^94+262x^96+2x^98+129x^100+50x^104+14x^108+8x^112+1x^144 The gray image is a code over GF(2) with n=688, k=14 and d=288. This code was found by Heurico 1.16 in 14.6 seconds.