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 2 0 2 0 2 0 1 1 1 1 1 1 2 0 2 1 0 0 2 1 1 2 1 1 1 1 0 1 2 1 4 2 1 0 1 1 1 1 1 1 1 1 2 0 2 4 1 2 2 1 2 1 2 0 1 1 2 1 0 2 1 1 0 2 0 6 0 6 0 6 0 6 0 6 4 6 6 0 6 0 0 6 0 6 4 6 6 2 6 2 6 2 2 0 4 2 6 0 6 2 6 6 2 2 6 2 4 6 2 0 4 2 2 2 6 0 0 2 2 2 4 0 4 0 0 4 6 0 4 2 6 4 4 6 6 2 2 2 6 2 4 4 6 2 2 6 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 4 0 0 4 0 0 0 4 4 0 0 4 0 0 4 0 0 4 4 4 4 0 4 0 4 0 0 4 0 4 4 4 4 0 4 4 0 4 0 4 0 0 0 0 4 4 0 4 0 0 0 4 4 4 0 4 0 4 0 0 4 0 0 4 0 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 4 4 4 4 4 0 0 4 4 0 4 4 0 4 4 4 4 0 0 4 4 0 4 4 0 0 4 4 0 0 0 4 4 4 4 4 0 4 4 0 0 4 0 4 4 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 4 4 4 0 4 4 0 0 0 4 4 0 4 0 4 0 0 4 0 4 4 0 4 4 0 0 0 4 4 0 0 4 0 4 4 4 0 4 4 0 4 0 4 0 0 4 0 0 0 0 0 4 0 4 4 4 0 4 0 4 0 4 4 4 4 0 4 0 4 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 0 4 4 0 0 4 0 4 0 0 0 0 0 4 4 4 4 0 4 0 4 0 4 4 4 4 0 0 4 0 4 0 4 0 0 4 0 4 4 4 0 0 4 0 4 0 4 0 0 0 4 4 4 4 4 4 0 0 4 0 0 4 0 0 0 0 0 4 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 4 4 0 4 4 4 0 4 4 4 0 4 0 4 4 4 0 0 4 0 0 0 0 0 0 0 4 0 0 0 4 4 0 4 0 0 0 0 4 4 4 0 4 4 0 0 4 0 0 0 0 0 4 0 0 4 4 4 0 0 4 0 0 4 4 0 4 0 0 4 4 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 0 0 4 4 0 4 0 4 4 4 0 4 4 0 4 4 0 4 4 0 4 0 4 4 4 4 4 4 0 0 0 4 4 0 4 0 0 0 0 4 0 0 0 4 0 0 0 4 0 4 0 4 4 4 0 0 0 4 4 4 0 0 0 0 0 0 0 0 4 0 0 0 4 4 0 4 4 4 0 0 4 0 4 0 4 0 0 4 0 4 0 4 0 0 4 4 0 0 0 4 4 0 0 4 4 4 0 4 4 0 0 4 4 0 0 4 0 4 4 4 0 4 0 0 4 4 4 0 4 4 4 4 4 4 0 4 0 4 4 0 4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 4 4 0 4 4 0 0 0 4 4 0 0 4 0 0 0 4 4 0 0 0 4 4 4 4 0 4 0 0 0 4 0 4 0 4 4 0 4 4 0 4 0 4 4 0 4 4 0 4 4 0 4 0 4 4 0 4 4 0 0 0 4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 4 4 4 0 4 0 0 4 0 0 4 4 4 4 0 0 0 4 4 0 4 4 0 0 4 0 4 4 4 0 0 4 0 0 4 0 4 4 0 0 0 4 4 4 0 4 4 4 4 0 4 0 0 4 4 0 4 0 0 4 4 0 4 4 0 4 0 4 4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 4 4 4 4 4 4 0 0 4 0 4 0 4 4 0 4 4 0 0 0 4 0 0 4 0 0 4 4 4 4 4 4 4 0 0 4 0 4 0 0 0 4 0 0 4 4 4 0 0 4 0 0 0 0 0 0 4 4 4 4 0 0 0 0 4 0 4 4 4 4 4 4 generates a code of length 86 over Z8 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+114x^68+14x^70+394x^72+216x^74+16x^75+943x^76+84x^77+992x^78+268x^79+2163x^80+700x^81+2236x^82+1332x^83+3605x^84+1736x^85+3256x^86+1656x^87+3548x^88+1272x^89+2384x^90+760x^91+2136x^92+292x^93+904x^94+60x^95+920x^96+12x^97+220x^98+4x^99+334x^100+18x^102+130x^104+33x^108+11x^112+3x^116+1x^128 The gray image is a code over GF(2) with n=344, k=15 and d=136. This code was found by Heurico 1.16 in 99.7 seconds.