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 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 2 0 1 2 2 2 4 4 2 4 4 2 2 4 2 4 2 1 1 0 4 1 2 1 2 0 1 1 1 1 0 2 0 0 0 0 0 0 0 2 2 6 6 6 0 2 6 0 4 6 6 4 6 2 6 6 6 4 0 0 4 0 6 0 4 4 6 0 6 2 4 6 2 0 0 2 6 2 6 6 4 4 4 2 2 2 6 2 2 2 2 2 2 6 4 0 0 4 6 6 4 4 2 2 2 6 0 2 6 0 2 0 0 0 2 0 0 0 2 6 2 2 2 4 2 6 0 0 0 4 2 6 2 0 6 4 6 4 4 6 4 2 6 4 4 0 2 2 0 4 4 0 2 4 0 6 0 0 0 2 2 6 2 4 2 2 6 0 4 2 0 2 4 6 4 4 2 2 0 0 4 2 0 0 6 6 6 4 0 4 4 4 4 6 0 0 0 2 0 2 2 6 0 0 2 2 0 2 0 4 6 6 2 0 6 6 0 4 6 2 0 2 4 0 2 4 4 4 4 4 6 4 6 2 0 4 6 6 6 2 4 2 4 6 2 4 6 4 0 6 2 0 6 6 4 2 0 0 4 2 4 2 4 0 6 0 4 4 0 0 6 0 0 6 2 6 0 0 0 0 2 2 0 6 2 0 2 2 2 4 4 6 0 6 6 0 2 0 2 6 4 0 4 0 2 0 2 6 0 0 0 2 4 2 6 2 6 4 0 0 4 2 6 6 4 0 6 2 2 2 4 4 2 0 4 2 2 4 2 4 6 0 2 0 0 2 6 2 0 2 6 2 0 0 2 0 6 0 0 0 0 0 0 4 0 0 0 4 4 0 4 4 4 4 4 4 0 0 0 4 0 4 4 0 4 4 0 0 0 0 0 4 4 0 4 4 4 0 0 4 0 4 4 0 4 0 0 4 4 0 0 4 4 4 0 0 4 4 0 0 0 0 4 0 0 4 4 4 4 4 4 0 0 4 0 0 0 0 4 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 0 4 4 4 0 0 0 4 4 4 0 0 4 0 4 0 4 0 4 0 4 0 0 4 4 0 0 4 0 4 0 0 4 0 4 4 4 4 4 0 0 4 0 4 0 4 0 4 4 0 0 0 4 4 4 4 0 4 4 0 4 4 4 0 4 4 0 0 0 0 0 0 0 0 4 0 4 0 4 0 0 4 4 4 4 0 0 4 0 4 0 4 4 4 4 0 4 4 4 0 0 4 4 0 4 0 4 4 0 4 4 0 0 0 4 4 0 0 0 4 4 0 4 4 4 4 4 0 4 0 4 0 4 4 0 4 0 0 4 0 0 4 0 4 0 4 4 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 4 0 0 4 4 4 4 4 4 4 4 0 4 0 0 4 0 4 0 4 0 0 0 4 0 0 0 0 0 0 4 0 4 0 4 4 0 0 4 4 4 0 4 4 4 4 0 4 0 0 4 0 0 4 4 4 4 4 4 0 4 0 0 4 0 4 4 0 0 generates a code of length 82 over Z8 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+74x^68+140x^69+240x^70+300x^71+447x^72+490x^73+823x^74+604x^75+1575x^76+742x^77+2761x^78+876x^79+4022x^80+930x^81+4598x^82+986x^83+4161x^84+894x^85+2862x^86+794x^87+1502x^88+554x^89+737x^90+412x^91+409x^92+286x^93+227x^94+92x^95+89x^96+58x^97+33x^98+30x^99+5x^100+2x^101+5x^102+2x^103+3x^104+1x^114+1x^118 The gray image is a code over GF(2) with n=328, k=15 and d=136. This code was found by Heurico 1.16 in 84.8 seconds.