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 6 1 1 4 1 6 1 1 1 1 6 4 1 2 1 1 1 1 0 1 1 1 1 0 1 0 4 1 1 0 1 1 6 1 1 1 4 1 1 1 1 2 1 4 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 3 1 3 2 1 0 1 3 4 2 3 1 1 1 1 4 5 6 7 1 4 1 3 4 1 0 1 1 4 3 1 1 2 1 6 4 0 1 7 3 6 4 0 7 2 1 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 2 2 6 4 4 6 6 2 0 2 0 6 0 2 4 6 6 4 0 0 2 4 6 4 0 4 4 6 6 0 2 0 2 0 4 6 0 4 4 0 4 4 2 4 2 6 0 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 4 0 2 0 0 2 4 2 4 0 0 4 6 0 6 6 6 4 0 6 4 0 4 6 6 4 6 6 2 2 0 2 2 0 4 4 2 6 4 4 0 0 2 4 2 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 6 2 4 6 6 2 0 0 2 6 0 6 0 2 6 2 0 0 0 2 6 2 0 2 0 6 6 6 0 2 4 4 6 4 0 2 6 4 0 6 0 0 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 0 4 0 0 0 4 0 4 4 4 4 0 0 4 4 0 0 0 4 0 4 4 4 0 0 4 4 4 0 4 0 0 0 4 4 0 4 4 4 0 4 0 0 4 0 generates a code of length 79 over Z8 who´s minimum homogenous weight is 70. Homogenous weight enumerator: w(x)=1x^0+123x^70+80x^71+379x^72+232x^73+605x^74+320x^75+789x^76+580x^77+753x^78+616x^79+777x^80+620x^81+660x^82+336x^83+548x^84+220x^85+236x^86+56x^87+113x^88+12x^89+62x^90+32x^92+16x^94+14x^96+9x^98+2x^100+1x^108 The gray image is a code over GF(2) with n=316, k=13 and d=140. This code was found by Heurico 1.16 in 3.84 seconds.