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 2 1 2 1 1 1 1 2 1 4 1 0 1 1 4 4 1 1 2 1 4 1 4 1 1 1 1 1 2 2 2 1 1 1 0 1 0 0 1 2 0 4 1 2 2 0 2 0 0 0 0 0 0 0 2 6 2 2 6 2 2 4 0 4 6 6 2 2 4 2 4 0 6 4 6 2 4 4 4 4 4 0 4 4 2 6 0 2 4 2 2 0 2 2 0 6 0 0 2 2 2 6 2 4 6 0 2 4 4 6 0 0 4 0 2 4 4 4 2 2 4 0 4 0 0 2 0 0 0 2 6 2 2 2 4 2 2 0 4 4 6 0 0 2 0 4 0 6 6 0 6 2 4 2 6 6 0 4 6 4 4 2 4 0 0 2 6 0 4 0 6 6 6 4 4 0 2 0 4 6 0 4 0 6 0 2 0 6 6 2 2 6 4 2 4 2 6 2 0 0 6 0 0 0 2 0 2 2 2 4 4 0 0 2 6 6 2 4 6 2 2 6 0 6 2 0 4 0 2 4 4 0 6 6 6 0 2 2 2 2 4 6 2 2 4 6 6 6 0 2 4 0 0 4 6 2 6 0 2 0 6 0 6 6 6 2 4 0 0 6 4 0 2 2 4 0 2 0 6 0 0 0 0 2 2 4 6 2 4 2 2 6 4 4 6 0 2 2 4 0 6 6 4 4 6 2 6 4 4 6 4 6 6 6 0 4 2 4 2 6 4 2 6 4 2 6 4 4 4 6 2 4 0 6 6 0 6 2 6 0 4 2 0 6 0 0 4 0 2 2 0 6 6 0 0 2 4 0 0 0 0 0 4 4 4 0 0 4 4 4 4 0 0 4 0 0 4 0 0 4 4 4 4 4 0 4 4 0 0 0 4 0 4 0 4 0 4 0 4 0 0 0 4 0 0 4 0 0 4 0 0 0 4 0 4 4 4 0 4 4 4 4 4 4 4 4 4 4 4 0 0 4 4 4 4 generates a code of length 78 over Z8 who´s minimum homogenous weight is 69. Homogenous weight enumerator: w(x)=1x^0+52x^69+136x^70+164x^71+180x^72+224x^73+228x^74+292x^75+349x^76+338x^77+345x^78+338x^79+322x^80+250x^81+192x^82+172x^83+123x^84+94x^85+95x^86+64x^87+31x^88+26x^89+25x^90+24x^91+16x^92+4x^93+2x^95+2x^96+4x^97+2x^98+1x^114 The gray image is a code over GF(2) with n=312, k=12 and d=138. This code was found by Heurico 1.16 in 1.43 seconds.