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 2 0 1 1 1 1 2 1 2 1 1 1 1 1 0 1 1 1 0 1 2 1 0 1 2 1 1 1 1 0 1 1 1 4 1 2 1 1 1 2 2 1 2 1 2 1 0 1 1 2 1 0 2 0 6 0 6 0 6 0 6 4 6 0 6 2 0 4 4 6 6 0 0 6 2 4 0 4 4 6 2 2 2 6 2 6 6 6 0 6 0 0 6 2 0 4 2 2 0 6 0 2 4 6 6 0 4 4 2 6 6 2 2 2 6 4 4 0 6 2 6 6 0 6 6 2 6 2 0 0 0 0 4 0 0 0 0 0 0 0 4 0 4 4 4 0 4 0 0 0 0 4 4 4 4 0 0 0 4 4 4 0 4 0 4 0 4 0 4 4 4 0 4 0 0 4 0 4 0 0 4 4 0 0 4 0 0 4 4 0 4 4 4 4 0 4 0 4 0 0 0 0 4 0 0 4 4 0 0 0 0 0 4 0 0 0 0 0 0 0 4 0 4 4 0 0 0 0 4 0 0 4 0 0 0 0 0 0 0 0 0 4 4 0 4 0 4 4 4 4 4 0 4 4 4 0 4 0 4 0 4 4 4 0 4 0 4 4 0 4 0 4 0 4 4 0 4 4 4 0 4 0 0 0 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 0 0 0 4 4 0 0 4 4 0 0 4 0 0 4 0 0 0 0 0 0 0 4 0 0 4 4 4 4 4 4 4 4 4 0 4 0 4 4 0 0 4 0 4 0 4 0 4 0 4 0 4 4 4 0 0 4 4 4 0 4 0 0 4 0 0 0 0 0 0 0 4 0 0 0 4 0 4 0 0 4 0 0 0 0 4 4 4 0 4 4 4 4 4 4 4 0 4 0 4 0 0 0 4 4 0 0 4 0 4 4 0 4 4 4 4 0 0 0 4 0 0 0 0 0 0 4 4 0 4 0 0 4 0 0 0 0 4 0 4 4 0 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 4 0 4 4 4 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 0 4 4 0 0 0 0 4 0 0 0 4 4 4 4 4 0 0 4 4 0 4 0 0 4 4 4 4 0 4 0 0 4 4 4 0 4 0 0 0 0 4 4 0 0 0 0 0 0 0 0 4 0 4 0 0 0 4 4 4 4 0 4 4 4 0 0 4 4 4 0 4 0 0 4 4 0 4 0 4 0 0 0 0 4 0 4 4 0 4 0 4 4 0 0 0 0 0 4 4 4 0 0 4 0 4 0 4 4 4 4 4 4 4 4 4 0 4 0 4 4 4 0 0 0 0 0 0 0 0 0 4 0 4 4 4 4 0 4 0 0 0 4 4 4 0 0 4 4 0 0 4 0 0 0 4 0 0 4 4 0 0 0 4 0 0 4 0 4 4 4 4 4 0 4 0 4 4 4 0 0 4 4 4 0 0 4 4 0 0 0 4 0 0 0 4 0 4 4 4 0 4 generates a code of length 79 over Z8 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+45x^68+26x^69+86x^70+82x^71+118x^72+126x^73+174x^74+222x^75+284x^76+372x^77+339x^78+404x^79+349x^80+332x^81+281x^82+252x^83+148x^84+146x^85+86x^86+58x^87+51x^88+22x^89+35x^90+6x^91+16x^92+15x^94+6x^96+5x^98+3x^100+2x^102+3x^104+1x^122 The gray image is a code over GF(2) with n=316, k=12 and d=136. This code was found by Heurico 1.16 in 1.67 seconds.