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 2 2 2 2 2 2 4 8 2 2 4 1 1 1 1 4 8 2 1 1 1 2 2 2 1 1 2 8 1 0 2 2 2 2 2 2 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 0 12 4 4 4 4 12 8 8 4 0 12 12 4 4 8 4 0 8 12 8 12 8 0 0 4 12 8 4 8 8 4 4 4 8 4 0 8 12 8 4 8 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 4 0 4 0 8 4 4 8 4 8 4 12 4 0 12 0 4 4 0 8 8 4 8 8 8 12 8 4 4 8 12 0 8 0 4 12 8 0 12 12 4 8 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 4 8 4 0 12 0 4 4 12 4 8 12 0 0 8 0 8 0 4 4 4 12 4 8 0 12 8 12 4 8 0 12 12 0 12 0 4 12 4 0 12 12 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 12 8 0 0 4 12 8 4 8 8 0 4 8 8 0 12 0 0 0 0 4 12 4 8 8 12 4 8 8 12 0 12 0 8 0 12 4 12 8 8 4 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 4 0 8 12 4 0 8 8 12 8 4 4 12 12 0 8 8 4 12 8 0 12 8 12 0 4 8 4 12 12 0 8 12 12 12 8 8 8 4 4 0 8 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 8 8 8 0 0 8 0 8 8 8 8 0 8 8 8 0 0 8 0 0 0 0 0 0 0 8 8 0 0 8 0 8 8 0 0 8 0 8 0 0 0 0 generates a code of length 84 over Z16 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+171x^72+480x^74+40x^75+817x^76+116x^77+1034x^78+404x^79+1640x^80+1684x^81+3562x^82+3812x^83+5261x^84+4124x^85+3448x^86+1500x^87+1775x^88+444x^89+848x^90+132x^91+705x^92+32x^93+366x^94+205x^96+102x^98+48x^100+16x^102+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 39.8 seconds.