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 2 1 1 2 1 1 1 2 1 1 1 2 1 1 2 1 1 2 1 1 1 1 4 1 1 2 1 4 1 1 0 1 2 4 1 4 1 2 1 1 1 1 1 4 2 4 1 4 2 0 12 0 4 0 0 4 12 0 8 4 4 0 12 12 8 8 0 4 4 0 0 12 4 8 8 12 4 8 8 4 12 4 8 4 12 0 4 0 4 4 4 0 12 0 0 8 4 12 4 12 8 8 12 4 4 4 8 4 12 12 0 0 0 0 8 0 8 0 4 0 8 4 12 8 4 12 8 0 12 12 0 0 12 4 0 12 4 0 8 4 0 4 0 4 8 4 4 0 4 8 12 0 8 12 0 4 0 4 0 12 8 4 12 12 8 0 12 12 12 12 12 0 8 8 8 12 4 12 12 4 8 0 4 4 12 0 0 4 12 8 0 4 4 0 4 4 4 4 12 8 0 8 0 4 8 12 0 4 4 0 8 0 0 0 8 0 0 0 0 8 8 8 0 8 8 8 8 8 0 8 0 0 0 0 8 0 0 8 0 8 8 0 8 0 0 8 8 8 0 0 0 0 0 8 8 0 8 0 8 0 0 0 8 8 0 8 8 0 8 8 8 0 8 8 0 0 0 0 0 0 8 8 8 0 8 0 0 0 8 8 0 8 0 0 0 0 8 0 0 0 0 0 0 8 8 8 0 0 0 0 8 8 8 8 8 0 8 0 8 0 0 0 0 8 8 8 0 0 0 8 8 8 8 0 0 8 8 8 8 8 0 8 8 8 0 0 8 0 0 0 0 8 0 8 0 8 8 8 8 0 0 0 0 0 8 0 0 8 8 0 0 0 0 0 0 0 0 0 8 0 0 0 8 0 8 8 0 8 0 8 0 0 8 8 0 0 0 8 8 0 0 8 0 8 0 0 8 8 0 8 0 0 0 8 8 8 0 8 8 0 8 0 0 0 0 8 8 8 8 0 8 8 0 8 0 0 8 0 8 0 0 8 0 8 0 8 0 8 0 8 8 8 0 8 0 0 0 0 0 0 8 0 8 8 8 8 8 0 8 8 0 8 8 8 0 8 8 8 8 8 0 0 0 8 8 8 0 0 0 8 8 8 8 8 8 0 0 8 8 8 0 8 8 0 0 0 0 0 0 0 8 8 0 0 0 8 0 0 0 0 8 0 0 8 8 0 0 0 8 8 8 0 0 8 0 0 0 0 0 0 0 0 8 0 0 8 8 0 8 0 0 8 0 8 8 0 8 8 8 0 8 0 0 0 8 0 0 0 8 8 0 8 8 0 0 0 8 8 0 8 8 8 8 8 8 8 8 0 0 0 0 8 8 8 8 0 8 8 8 0 0 8 8 8 8 0 8 8 8 8 8 8 8 0 0 0 generates a code of length 81 over Z16 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+145x^72+16x^73+224x^74+88x^75+380x^76+244x^77+674x^78+420x^79+1724x^80+500x^81+1684x^82+436x^83+698x^84+252x^85+238x^86+76x^87+135x^88+12x^89+98x^90+4x^91+85x^92+24x^94+27x^96+2x^98+4x^100+1x^124 The gray image is a code over GF(2) with n=648, k=13 and d=288. This code was found by Heurico 1.16 in 3.95 seconds.