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 4 1 1 1 2 2 2 4 0 1 4 2 1 1 2 1 0 1 2 2 2 0 2 0 2 0 0 0 0 0 0 0 2 2 6 6 6 2 2 4 2 2 4 0 2 0 2 4 4 6 4 2 2 0 0 2 2 0 6 2 6 2 6 4 4 4 0 4 0 0 2 0 0 0 2 6 2 2 2 4 2 6 0 0 2 2 0 4 2 6 4 2 4 2 0 0 6 0 4 0 0 0 4 4 4 0 4 0 6 6 2 0 4 0 0 0 2 0 2 2 6 0 0 2 2 0 2 2 4 2 4 6 0 2 6 2 6 0 4 4 2 4 2 2 2 0 2 6 6 6 0 0 2 6 2 0 0 6 0 0 0 0 2 2 0 6 2 0 2 2 2 4 4 6 6 4 6 4 4 2 2 0 6 0 4 4 0 4 4 4 6 4 2 2 0 2 4 4 0 4 0 2 4 0 0 0 0 0 4 0 0 0 4 4 0 4 4 4 4 0 4 4 0 4 0 0 0 4 4 4 0 0 0 0 4 0 4 4 4 0 0 0 4 0 4 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 0 4 4 0 4 4 0 4 4 0 4 4 0 0 0 4 4 0 4 0 4 0 0 0 4 4 4 0 0 4 0 0 0 0 0 0 0 4 0 4 0 4 0 0 4 4 0 0 4 0 0 0 4 0 0 0 4 4 0 4 0 4 0 0 4 0 0 4 0 4 4 0 4 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 4 0 0 4 4 4 0 4 4 4 4 4 0 0 0 4 4 4 4 4 4 0 4 4 0 0 4 0 4 4 4 4 generates a code of length 45 over Z8 who´s minimum homogenous weight is 34. Homogenous weight enumerator: w(x)=1x^0+136x^34+672x^36+24x^37+1116x^38+224x^39+2096x^40+864x^41+3463x^42+1824x^43+4601x^44+2320x^45+4972x^46+1824x^47+3673x^48+864x^49+2050x^50+224x^51+1094x^52+24x^53+486x^54+134x^56+63x^58+17x^60+1x^62+1x^78 The gray image is a code over GF(2) with n=180, k=15 and d=68. This code was found by Heurico 1.16 in 36.1 seconds.