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 2 1 1 1 1 1 1 1 0 1 1 1 2 1 1 1 1 1 2 1 1 1 2 2 1 1 2 1 1 4 0 1 2 2 1 0 4 1 2 2 0 1 1 0 2 0 0 0 2 6 2 4 0 4 4 2 2 6 2 0 4 0 6 2 4 2 6 0 2 4 6 0 0 6 2 2 6 6 4 4 6 0 2 6 4 2 2 0 0 2 2 2 4 6 6 2 6 4 4 4 0 6 4 6 6 6 2 2 0 4 6 0 6 2 0 4 2 2 2 2 4 0 0 2 0 2 2 2 4 6 2 4 0 6 0 2 4 0 2 6 6 4 0 0 2 2 6 0 4 4 2 0 6 2 2 0 2 0 6 0 4 0 2 6 6 0 4 0 2 4 2 2 0 4 0 2 6 4 0 6 4 4 6 2 4 4 2 0 0 4 0 2 2 0 6 6 4 2 4 0 0 0 2 2 0 2 6 2 4 0 2 4 0 2 6 4 4 6 6 0 2 6 0 4 2 6 4 0 2 2 0 0 0 0 4 6 6 6 2 6 6 2 2 0 0 6 4 6 2 4 4 0 4 6 0 0 6 2 2 6 6 6 2 6 0 4 4 6 4 4 0 0 0 4 4 4 0 0 0 0 0 4 0 0 0 0 0 4 4 0 4 4 0 4 4 0 4 0 4 4 4 4 0 0 4 0 4 4 4 4 0 0 4 4 0 0 0 4 0 0 4 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 4 0 4 0 4 4 0 0 4 0 4 0 0 4 4 4 0 4 4 0 0 0 0 0 4 4 0 4 4 0 4 0 0 4 4 4 4 0 0 4 0 0 0 0 0 4 4 4 4 4 4 4 4 4 4 0 0 0 0 0 4 4 0 4 4 4 4 4 0 4 4 0 4 0 4 0 0 4 4 4 0 0 4 4 0 4 0 0 0 0 4 0 0 0 0 0 4 generates a code of length 78 over Z8 who´s minimum homogenous weight is 70. Homogenous weight enumerator: w(x)=1x^0+20x^70+84x^71+82x^72+132x^73+159x^74+154x^75+174x^76+190x^77+144x^78+180x^79+245x^80+122x^81+94x^82+50x^83+56x^84+40x^85+20x^86+28x^87+16x^88+14x^89+11x^90+16x^91+1x^92+14x^93+1x^124 The gray image is a code over GF(2) with n=312, k=11 and d=140. This code was found by Heurico 1.16 in 0.509 seconds.