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 0 1 2 2 1 1 1 1 1 1 1 1 0 1 1 1 4 1 2 1 1 2 1 2 1 1 1 0 1 2 1 4 1 1 2 0 2 0 1 1 2 4 1 1 2 4 0 2 0 2 0 0 2 6 0 4 6 2 0 2 2 4 4 0 2 6 0 0 6 6 4 6 2 4 4 2 2 0 6 0 4 4 2 2 4 2 0 4 0 4 2 6 6 2 0 2 2 2 2 6 6 6 6 2 0 2 0 0 2 4 2 2 2 6 4 6 4 4 0 4 4 2 2 0 0 2 2 0 0 2 2 0 6 2 0 4 2 0 2 0 6 4 6 2 0 2 4 6 0 4 2 4 2 4 0 2 6 4 6 0 2 2 2 0 6 2 6 0 2 6 4 6 2 6 0 4 2 6 6 0 4 0 4 0 4 6 2 2 2 4 0 6 0 2 6 2 0 2 2 2 4 6 4 2 4 2 2 6 0 0 0 4 0 0 0 0 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 4 4 4 0 0 4 4 0 0 4 4 4 0 4 4 0 4 0 4 4 0 0 0 0 4 0 4 0 4 0 4 4 0 0 0 0 0 0 0 4 0 4 0 0 0 0 4 4 0 0 4 4 0 4 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 4 4 4 0 0 0 0 4 4 4 4 4 0 4 0 4 0 4 4 0 0 0 4 4 4 4 0 4 4 0 0 0 0 4 4 4 0 4 0 0 4 0 4 4 4 4 0 0 0 0 4 0 0 0 4 0 0 0 4 0 4 0 4 0 4 4 4 4 4 0 0 0 0 0 0 4 0 0 0 4 0 4 4 0 4 0 4 0 0 4 4 0 0 0 0 4 4 4 4 0 0 4 0 4 0 4 4 4 0 4 4 0 0 4 0 0 4 0 4 4 4 0 4 0 0 0 4 4 4 0 4 4 4 4 0 0 4 4 4 4 0 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 4 4 4 4 4 0 4 4 0 4 4 0 4 0 0 4 0 4 4 4 4 4 4 0 0 0 4 4 4 0 0 4 0 4 0 0 0 4 0 4 0 0 0 0 4 0 4 0 0 0 4 4 4 0 0 4 0 0 0 0 4 0 0 0 4 4 0 4 0 0 4 4 4 0 0 0 0 0 0 0 4 0 0 0 4 0 4 4 0 0 4 0 4 0 0 4 0 4 4 0 0 4 4 0 4 4 0 0 4 0 4 4 4 0 4 4 4 0 0 0 4 0 0 4 4 4 0 0 4 4 0 4 4 0 4 4 4 0 0 4 0 0 0 4 0 0 0 0 0 4 0 4 0 4 generates a code of length 81 over Z8 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+164x^72+8x^73+222x^74+40x^75+343x^76+116x^77+378x^78+212x^79+504x^80+260x^81+474x^82+228x^83+376x^84+124x^85+198x^86+28x^87+182x^88+4x^89+108x^90+4x^91+60x^92+24x^94+25x^96+4x^98+4x^100+4x^104+1x^124 The gray image is a code over GF(2) with n=324, k=12 and d=144. This code was found by Heurico 1.16 in 1.68 seconds.