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 2 1 1 1 1 0 1 2 1 4 1 4 2 1 1 2 1 1 1 1 1 2 1 0 1 0 0 0 1 1 2 0 1 1 1 1 2 4 1 1 0 2 1 1 2 0 2 0 0 0 2 6 2 0 0 4 4 2 2 6 2 0 4 2 2 6 0 6 4 4 6 0 2 4 6 6 6 4 4 2 0 2 2 4 4 6 2 2 4 4 2 4 2 0 6 4 2 6 6 6 6 6 0 4 0 4 2 2 2 0 0 4 4 2 2 2 6 6 2 4 6 2 0 0 2 4 0 0 2 0 2 2 6 0 0 4 2 2 2 6 4 0 0 0 6 0 4 6 2 2 6 2 2 4 0 4 2 6 4 4 2 0 0 2 2 6 2 2 6 6 6 6 0 0 6 4 6 2 0 2 2 4 2 6 4 2 2 2 4 0 4 0 2 2 4 4 6 6 2 2 2 6 6 2 6 0 0 0 0 0 2 2 0 6 2 4 2 2 0 0 2 0 6 4 2 0 4 6 4 2 6 0 2 2 2 6 0 4 0 4 4 6 6 6 2 0 6 4 2 2 6 0 4 0 2 0 4 4 0 4 4 0 2 4 4 2 0 2 6 6 4 0 0 2 6 4 6 6 2 0 0 0 2 4 4 2 2 0 0 0 0 0 4 0 0 0 0 0 0 4 4 4 0 0 4 0 0 0 4 4 0 4 4 4 4 4 4 4 0 0 0 0 4 4 0 0 0 0 4 0 0 4 0 4 4 0 4 4 0 4 4 4 4 4 4 0 4 4 0 0 0 0 4 4 0 0 0 4 4 4 0 0 4 0 0 0 4 0 4 0 0 0 0 0 4 0 4 4 0 4 4 4 0 4 0 4 4 0 0 0 0 0 0 4 4 4 4 0 4 0 4 0 4 4 0 0 4 4 4 0 0 4 0 0 0 0 4 0 4 4 0 0 4 0 0 4 4 0 0 4 4 4 4 4 0 0 4 4 0 4 0 4 4 4 0 0 0 4 0 4 0 0 0 0 0 0 4 4 0 4 4 0 4 4 4 4 4 4 4 4 4 0 0 4 4 0 4 0 0 4 0 4 4 4 4 4 0 4 4 0 4 4 0 4 4 0 4 0 4 0 0 4 0 0 0 0 4 4 4 4 0 0 4 0 0 0 0 0 0 4 4 4 4 0 4 4 0 4 4 4 4 generates a code of length 81 over Z8 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+126x^72+264x^74+64x^75+356x^76+124x^77+380x^78+172x^79+517x^80+268x^81+422x^82+236x^83+379x^84+116x^85+240x^86+36x^87+146x^88+4x^89+104x^90+4x^91+53x^92+60x^94+16x^96+2x^98+3x^100+2x^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 1.53 seconds.