The generator matrix 1 0 1 1 1 6 1 1 4 1 2 1 1 4 1 4 1 1 1 6 1 6 1 1 1 1 1 1 2 2 1 1 1 1 6 1 1 1 6 6 1 1 4 1 4 2 1 0 1 0 1 1 1 2 2 1 1 1 1 1 1 2 6 2 4 0 1 0 1 1 1 1 1 1 1 0 0 1 0 1 1 0 1 1 0 1 1 2 7 1 1 1 6 3 1 6 1 1 6 7 1 4 1 0 5 3 3 6 4 1 1 7 6 2 1 1 3 7 2 1 1 6 0 1 7 1 1 0 1 0 1 6 1 7 1 1 1 5 5 4 7 6 0 1 1 1 1 4 1 2 5 1 2 6 7 0 0 0 4 2 2 3 0 0 2 0 0 0 0 0 0 4 4 0 0 2 6 6 2 6 2 6 6 6 6 4 6 2 2 4 6 4 0 0 4 6 0 4 2 6 2 4 0 6 2 6 0 0 2 0 6 6 4 2 2 4 0 4 4 2 4 4 2 4 0 0 0 2 4 6 6 4 2 2 2 4 0 0 4 4 2 6 2 0 0 0 2 0 0 2 2 2 6 2 4 0 4 2 6 6 0 0 2 2 0 4 0 6 0 4 6 6 4 6 2 0 6 6 2 4 6 0 2 4 2 0 6 0 4 4 4 4 6 0 2 2 4 2 6 4 4 4 6 6 6 6 0 0 2 0 4 0 4 0 6 2 0 2 4 0 6 6 4 0 0 0 0 0 2 0 0 4 4 0 4 4 4 4 0 0 0 4 4 0 4 4 4 4 0 6 6 6 6 6 6 6 6 6 2 6 6 2 6 0 2 6 6 2 6 0 2 4 0 2 0 0 2 0 0 6 4 2 6 6 4 2 2 0 2 2 0 2 6 6 6 2 6 6 4 2 2 0 6 0 2 0 0 0 0 0 4 4 4 4 0 0 4 0 4 4 0 4 4 4 4 0 0 0 4 0 0 0 4 0 4 0 0 4 4 4 4 4 4 4 0 0 0 0 0 0 0 0 4 4 0 0 0 4 4 4 0 0 4 4 4 0 4 0 0 4 0 0 0 0 0 0 4 4 4 0 0 0 4 0 4 4 generates a code of length 81 over Z8 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+96x^72+76x^73+429x^74+308x^75+613x^76+380x^77+712x^78+484x^79+827x^80+556x^81+787x^82+504x^83+648x^84+440x^85+496x^86+228x^87+243x^88+80x^89+109x^90+12x^91+64x^92+4x^93+52x^94+29x^96+7x^98+3x^100+4x^104 The gray image is a code over GF(2) with n=324, k=13 and d=144. This code was found by Heurico 1.16 in 3.97 seconds.