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 0 4 2 1 0 0 2 0 1 1 2 1 1 2 2 1 4 0 4 1 2 1 1 2 1 1 2 1 0 4 1 2 1 0 2 4 1 1 0 0 2 0 0 0 0 0 0 0 2 6 2 2 6 6 2 2 2 2 4 6 0 0 0 6 2 2 6 4 4 0 4 0 4 2 4 2 2 0 4 0 2 0 2 4 2 6 2 4 0 4 4 0 2 6 0 2 2 4 2 0 2 2 6 6 6 0 2 2 0 4 2 0 2 6 2 0 2 2 0 0 2 0 0 0 2 6 2 0 0 4 2 2 2 6 0 4 4 0 2 0 4 6 6 6 6 4 2 0 6 6 4 4 6 2 6 6 2 6 4 4 2 2 2 4 0 6 6 0 2 6 4 4 6 0 0 2 4 0 0 0 2 6 2 4 2 4 0 0 6 6 6 6 6 2 0 6 2 0 0 0 2 0 2 2 6 0 2 2 0 4 4 6 6 6 0 6 2 6 4 0 6 6 4 0 4 6 6 0 0 0 2 2 2 4 0 6 0 2 4 6 6 6 0 6 2 6 6 2 6 4 2 4 0 2 4 4 4 6 4 4 0 0 6 6 0 0 0 2 2 4 6 6 0 4 2 0 0 0 0 0 2 2 0 6 2 4 6 6 4 2 4 2 0 0 6 2 4 0 6 0 6 2 0 2 2 6 4 2 2 4 2 0 4 6 2 6 4 6 0 6 6 4 6 4 2 4 2 0 0 4 0 2 0 6 2 0 0 0 4 2 6 6 6 6 6 2 4 0 4 4 0 0 0 0 2 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 4 4 4 4 4 4 4 4 4 0 4 4 4 4 4 4 4 4 4 4 4 4 0 0 4 0 4 0 4 0 4 0 4 0 0 4 4 0 4 0 4 4 0 4 0 4 4 0 0 0 0 0 0 0 4 0 4 4 0 4 4 4 0 0 4 0 0 4 0 4 4 0 0 4 4 4 4 0 4 0 4 4 0 4 4 0 0 4 0 0 4 4 0 4 4 0 4 0 0 0 0 4 4 4 0 4 0 4 4 0 0 0 0 4 4 0 4 4 0 4 0 4 4 0 0 0 4 0 0 0 0 0 0 0 4 4 0 4 4 4 4 0 0 4 4 0 0 4 0 0 0 4 0 0 0 4 0 0 4 4 0 0 0 4 0 0 0 4 4 4 0 4 0 4 4 0 4 0 4 4 0 0 0 0 4 0 0 4 4 4 0 0 4 4 0 4 4 4 4 0 0 0 0 0 4 0 generates a code of length 79 over Z8 who´s minimum homogenous weight is 67. Homogenous weight enumerator: w(x)=1x^0+82x^67+125x^68+232x^69+343x^70+402x^71+475x^72+592x^73+697x^74+900x^75+1181x^76+1222x^77+1253x^78+1380x^79+1515x^80+1228x^81+964x^82+870x^83+754x^84+624x^85+415x^86+332x^87+233x^88+170x^89+132x^90+106x^91+59x^92+24x^93+29x^94+22x^95+7x^96+2x^97+6x^98+2x^99+1x^100+2x^101+1x^106+1x^112 The gray image is a code over GF(2) with n=316, k=14 and d=134. This code was found by Heurico 1.16 in 25.3 seconds.