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 2 2 2 2 4 0 4 0 4 2 0 1 2 4 4 1 0 1 1 0 1 0 2 2 1 2 1 0 1 1 1 1 1 0 2 0 0 0 0 0 0 0 0 0 4 4 6 2 2 2 2 2 6 4 2 6 2 4 0 6 6 6 6 6 4 2 2 2 6 0 6 0 4 2 2 4 2 2 6 2 6 6 0 4 2 2 2 2 4 4 2 2 0 4 4 0 6 0 4 2 4 4 2 0 2 2 0 0 6 2 6 0 0 2 0 0 0 0 0 0 0 2 2 6 0 6 2 6 4 4 6 6 0 4 6 6 6 6 4 6 2 0 6 2 4 6 4 6 0 4 4 2 6 6 0 2 0 4 2 6 4 0 0 2 6 4 2 4 6 6 2 2 0 6 4 2 4 4 4 0 6 6 2 4 4 6 6 2 6 0 0 0 2 0 0 0 2 6 2 2 2 4 2 6 4 2 4 0 6 6 2 4 4 4 2 0 2 2 0 6 4 0 0 6 6 2 6 6 2 6 4 2 2 4 2 2 6 2 2 0 4 0 2 2 6 2 4 4 4 2 2 0 2 0 0 4 0 0 2 6 2 4 4 4 4 0 4 0 0 0 0 2 0 2 2 2 4 4 0 0 0 4 4 0 0 2 6 6 6 6 2 6 2 0 6 6 6 4 2 0 4 0 6 6 0 4 4 4 2 2 0 2 0 2 6 4 0 0 0 0 2 6 2 6 6 4 6 4 6 4 4 2 2 2 6 6 0 4 4 0 6 2 2 4 0 0 0 0 0 0 2 2 4 6 2 4 2 2 6 0 2 6 2 2 6 2 2 0 6 6 4 4 0 4 0 0 0 0 6 0 6 6 4 6 4 2 2 2 2 0 6 6 6 2 2 2 2 2 4 0 4 6 2 2 6 0 2 2 2 4 2 4 2 6 0 0 4 6 6 0 2 6 2 0 0 0 0 0 0 4 4 4 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 4 0 4 4 4 0 4 4 4 4 0 0 4 4 4 4 0 4 4 0 4 0 0 4 4 4 4 0 4 0 0 0 0 4 4 4 0 0 0 0 0 4 4 0 0 4 4 0 0 4 4 0 0 generates a code of length 78 over Z8 who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+79x^66+140x^67+227x^68+298x^69+359x^70+446x^71+603x^72+758x^73+849x^74+1122x^75+1287x^76+1344x^77+1433x^78+1390x^79+1265x^80+1160x^81+940x^82+694x^83+499x^84+386x^85+321x^86+246x^87+165x^88+126x^89+83x^90+42x^91+42x^92+20x^93+31x^94+14x^95+6x^96+4x^97+2x^99+1x^108+1x^114 The gray image is a code over GF(2) with n=312, k=14 and d=132. This code was found by Heurico 1.16 in 21.2 seconds.