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 4 1 4 1 1 1 1 1 1 2 1 2 1 1 1 1 1 1 2 1 1 1 1 2 2 1 2 1 4 2 1 1 0 1 0 1 1 1 1 2 1 1 0 4 1 1 1 1 0 2 1 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 4 2 4 4 6 4 2 2 2 6 0 0 4 0 2 2 6 2 0 0 0 0 2 2 0 4 2 2 2 4 0 6 2 2 4 0 0 0 0 4 6 2 2 2 6 0 4 0 0 2 0 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 4 2 6 4 2 2 0 0 6 6 0 2 4 0 4 4 2 4 2 2 0 4 4 4 0 0 4 6 4 0 6 2 0 4 2 2 6 2 6 0 0 0 2 4 4 0 6 2 6 0 6 0 2 2 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 0 2 2 2 2 6 2 0 2 6 6 0 2 2 6 6 6 2 0 4 0 2 6 0 4 4 2 0 2 4 6 6 2 4 4 2 2 2 2 0 0 6 4 0 6 6 0 6 6 2 6 2 2 0 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 4 4 2 4 0 2 6 6 2 2 6 6 4 6 2 2 6 2 0 4 0 0 2 6 2 4 4 0 0 4 6 4 0 2 2 2 2 4 0 4 2 6 4 4 6 4 2 6 6 2 4 6 6 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 0 0 4 4 0 4 4 4 4 0 0 4 4 0 0 0 4 4 0 0 4 0 4 4 0 0 0 4 0 0 0 4 4 4 0 0 0 0 4 4 0 4 0 0 4 0 0 4 0 0 4 4 4 4 generates a code of length 87 over Z8 who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+134x^78+290x^80+24x^81+338x^82+144x^83+390x^84+236x^85+466x^86+244x^87+455x^88+208x^89+356x^90+120x^91+227x^92+44x^93+156x^94+4x^95+121x^96+60x^98+46x^100+20x^102+5x^104+6x^106+1x^140 The gray image is a code over GF(2) with n=348, k=12 and d=156. This code was found by Heurico 1.16 in 1.7 seconds.