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 1 1 2 2 2 4 1 1 4 2 1 1 2 0 0 1 4 1 1 2 0 1 1 0 1 2 0 2 1 1 1 1 1 2 4 2 4 1 1 4 4 0 0 1 0 2 0 0 0 2 6 2 0 4 0 2 0 6 2 4 2 2 4 0 2 6 6 4 6 2 6 4 0 0 2 4 0 4 2 2 0 2 6 2 2 2 4 2 2 2 2 2 0 4 0 2 0 6 0 0 6 0 2 2 2 2 0 0 2 4 0 4 4 4 4 4 2 0 0 2 2 2 4 0 0 2 0 2 2 6 0 0 0 2 4 2 2 4 6 2 2 0 6 0 6 0 4 2 4 4 6 6 0 6 4 2 6 2 0 0 2 0 0 4 6 0 4 4 6 6 0 2 4 0 2 4 0 2 2 2 4 2 2 6 6 2 6 6 6 2 6 4 4 2 2 6 4 2 4 0 0 0 0 0 0 2 2 0 6 2 0 2 4 0 6 2 2 4 0 0 2 2 6 6 0 4 4 4 2 2 4 0 0 6 2 0 0 2 6 0 4 6 2 2 0 6 6 4 6 6 4 2 4 2 2 6 2 4 6 2 6 2 4 0 0 2 6 4 2 2 2 2 4 4 4 2 0 2 4 0 2 0 0 0 0 4 0 0 0 4 4 4 0 0 0 0 0 0 4 4 0 0 4 4 4 0 4 0 4 4 0 4 0 0 0 4 4 0 4 4 4 0 0 4 0 4 0 4 0 0 0 4 0 0 4 4 4 0 0 0 4 0 4 4 4 4 4 4 4 0 4 4 4 4 4 4 0 4 4 0 0 0 0 0 0 4 0 0 4 0 4 4 4 4 0 4 0 0 0 4 0 0 4 0 0 4 4 4 4 4 4 0 0 0 0 0 0 0 4 0 0 4 0 0 0 4 4 4 0 4 4 0 4 0 4 0 0 0 0 4 0 0 4 0 4 4 4 0 0 0 4 4 4 4 0 4 0 4 4 0 0 0 0 0 0 4 0 0 4 4 4 0 0 0 0 4 0 0 4 4 4 4 0 0 4 0 0 0 0 4 4 4 4 4 0 0 0 0 4 4 4 0 0 4 4 0 4 4 0 4 0 4 4 4 0 0 4 0 4 0 4 4 4 0 4 0 4 0 0 0 0 4 4 4 4 0 4 0 0 0 0 0 0 0 0 4 4 4 0 4 0 0 0 0 4 4 4 4 0 4 0 0 4 4 4 4 0 4 4 0 0 0 0 4 4 0 0 0 4 0 4 4 4 4 0 0 0 0 0 4 4 0 0 0 0 4 0 4 0 4 4 0 4 4 0 4 0 4 0 4 0 0 0 4 0 4 0 generates a code of length 79 over Z8 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+59x^68+110x^69+156x^70+214x^71+211x^72+504x^73+203x^74+708x^75+221x^76+910x^77+217x^78+1254x^79+203x^80+1040x^81+208x^82+622x^83+169x^84+416x^85+148x^86+228x^87+113x^88+78x^89+75x^90+34x^91+31x^92+12x^93+14x^94+8x^95+16x^96+2x^97+2x^98+4x^99+1x^110 The gray image is a code over GF(2) with n=316, k=13 and d=136. This code was found by Heurico 1.16 in 5.88 seconds.