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 2 1 0 2 12 1 1 1 2 0 1 1 2 12 1 1 1 0 1 12 2 1 1 2 1 1 0 1 2 1 1 1 1 2 1 1 1 0 1 1 2 1 1 12 1 2 2 1 1 1 2 2 1 1 12 1 1 2 4 4 0 2 12 6 0 6 12 10 0 6 12 10 4 14 0 8 10 10 12 6 10 0 12 6 6 14 2 10 2 0 12 10 6 2 6 0 10 2 10 12 2 2 10 2 6 0 12 10 6 6 2 12 6 6 0 12 10 10 12 10 10 2 2 14 6 4 2 2 0 10 6 6 0 12 10 10 4 12 2 10 4 12 0 12 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 8 8 8 8 8 0 0 8 8 8 8 8 0 8 8 8 8 0 0 0 0 0 0 0 8 8 0 8 0 8 8 8 0 8 0 8 8 0 8 8 8 8 0 8 0 8 8 0 8 8 0 0 8 0 8 0 0 8 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 8 0 0 0 0 8 8 8 8 0 0 8 0 8 8 0 0 0 8 0 8 8 0 8 0 8 8 8 0 0 0 8 8 0 8 0 8 8 0 0 0 8 8 8 0 8 0 0 8 8 0 0 8 8 0 8 0 8 0 0 0 8 8 8 0 0 0 0 8 0 0 0 0 0 8 0 8 0 0 8 8 8 8 8 8 8 0 0 8 8 8 8 0 8 8 0 0 8 8 0 8 0 8 0 8 8 8 0 8 8 8 0 0 0 0 0 0 0 0 8 0 8 0 8 0 8 0 8 0 8 8 8 0 0 0 0 0 0 0 0 0 0 0 8 0 0 8 0 0 0 0 0 0 8 0 0 0 0 0 0 0 8 0 0 8 8 0 0 8 0 0 8 8 0 0 8 8 8 8 0 8 0 8 8 0 0 8 8 8 0 8 0 8 8 0 0 0 0 8 0 8 8 8 8 8 8 0 8 0 0 8 8 0 0 0 8 8 0 8 8 8 0 0 0 8 0 8 8 8 0 0 8 0 0 0 0 0 0 8 0 0 0 0 0 8 0 8 8 0 0 8 8 8 0 8 8 8 0 8 0 0 8 0 0 0 0 0 8 0 8 8 8 8 8 8 0 0 8 0 0 0 8 8 0 0 8 8 0 0 0 8 0 8 8 8 0 8 0 8 0 0 8 8 8 8 0 0 8 8 8 0 8 8 8 0 0 0 0 0 0 0 0 0 8 0 0 0 8 0 0 8 8 8 0 8 0 0 8 0 8 0 8 0 8 8 0 8 0 0 0 0 8 0 8 8 0 8 8 0 8 8 8 0 8 8 0 0 0 8 8 8 8 0 8 0 0 8 8 8 8 0 8 8 0 0 8 0 8 8 0 8 8 8 8 8 8 0 0 8 8 0 0 0 0 0 0 0 0 8 0 8 0 8 0 8 0 8 8 8 8 8 8 0 0 8 8 8 8 0 0 0 8 8 0 0 8 0 8 0 8 0 0 0 0 0 8 0 8 0 0 0 0 0 0 8 8 0 8 0 0 8 0 8 0 0 8 0 8 8 0 8 8 0 8 8 8 8 0 8 8 0 0 8 0 0 0 0 0 0 0 0 0 0 8 0 8 0 8 8 8 8 8 0 8 0 0 8 0 8 8 0 8 0 0 8 8 0 8 0 8 0 0 0 0 8 0 8 0 0 8 8 8 8 0 0 0 8 0 0 0 0 0 8 8 8 0 0 0 8 0 8 0 0 8 0 8 0 8 8 8 0 8 8 0 8 8 8 0 generates a code of length 84 over Z16 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+138x^72+16x^73+174x^74+64x^75+570x^76+324x^77+904x^78+956x^79+1708x^80+2912x^81+2250x^82+5120x^83+2892x^84+4712x^85+2368x^86+2776x^87+1663x^88+1200x^89+802x^90+288x^91+509x^92+52x^93+152x^94+12x^95+114x^96+6x^98+51x^100+23x^104+9x^108+1x^112+1x^116 The gray image is a code over GF(2) with n=672, k=15 and d=288. This code was found by Heurico 1.16 in 32.9 seconds.