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 1 1 1 2 2 1 2 4 4 0 1 1 4 1 1 4 1 1 2 0 1 0 1 2 4 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 4 4 0 0 4 0 0 0 4 4 6 6 2 6 6 2 2 6 6 6 6 2 4 2 2 6 4 6 6 4 0 2 4 0 2 6 6 0 4 0 6 6 6 4 2 2 6 2 2 4 2 6 0 2 6 6 4 2 4 4 2 0 4 2 0 0 4 4 0 0 2 0 0 0 0 0 0 0 2 2 6 6 6 4 6 2 4 6 4 6 4 4 6 6 0 4 2 4 0 4 2 4 2 0 6 6 0 2 4 2 2 2 4 4 2 2 4 4 4 4 4 6 2 6 2 6 4 2 0 2 4 2 0 0 2 4 2 2 2 4 0 4 4 4 2 4 4 2 2 0 0 0 2 0 0 0 2 6 2 4 2 2 0 2 0 2 0 6 6 4 4 0 2 4 2 6 0 0 2 6 6 4 0 6 4 4 4 4 2 6 0 0 0 6 6 2 0 2 0 2 2 6 2 2 2 4 6 6 0 6 4 0 0 2 4 4 4 0 2 2 0 0 0 2 0 4 0 2 4 2 0 0 0 0 2 0 2 2 2 4 4 4 4 2 6 2 6 2 6 4 4 4 4 0 2 0 0 4 2 2 0 6 0 2 4 6 2 4 6 2 6 4 4 6 6 2 6 2 4 0 0 6 4 4 6 0 4 4 6 6 0 4 2 0 0 6 0 4 0 0 6 2 4 0 2 2 2 4 2 6 0 0 0 0 0 0 2 2 0 2 6 2 0 2 0 2 4 4 2 4 4 2 0 4 4 4 2 2 2 6 0 6 0 6 6 4 6 6 4 4 6 2 4 2 4 2 0 4 2 4 0 4 6 4 0 0 6 0 2 6 4 0 4 6 2 2 4 4 4 6 0 6 2 2 0 2 4 0 6 4 6 6 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 4 4 4 4 4 4 0 0 4 4 0 4 0 4 0 4 0 4 0 4 4 0 0 0 4 0 0 0 0 0 0 0 4 4 0 0 0 0 4 4 4 0 0 0 4 4 4 4 4 0 0 0 0 4 4 4 0 0 4 0 4 0 4 0 0 4 0 4 0 0 0 4 4 4 0 0 4 4 0 0 4 4 4 4 4 0 0 0 0 4 4 4 4 4 0 4 4 4 4 4 4 4 4 0 4 0 generates a code of length 81 over Z8 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+270x^68+704x^70+952x^72+40x^73+1326x^74+224x^75+1951x^76+808x^77+3028x^78+1816x^79+4061x^80+2392x^81+4012x^82+1848x^83+3073x^84+824x^85+2102x^86+200x^87+1356x^88+32x^89+826x^90+8x^91+494x^92+260x^94+108x^96+28x^98+18x^100+2x^102+2x^104+1x^108+1x^132 The gray image is a code over GF(2) with n=324, k=15 and d=136. This code was found by Heurico 1.16 in 85.1 seconds.