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 2 2 0 0 2 0 4 2 0 0 1 1 1 1 2 2 0 1 0 2 0 0 0 2 6 2 0 0 4 2 4 2 6 2 2 0 6 2 4 2 2 6 2 4 4 2 0 2 0 2 2 2 4 4 0 2 6 2 2 4 0 0 2 0 2 2 6 0 0 4 2 2 2 6 4 0 0 0 2 2 0 4 4 0 4 2 4 6 0 0 2 2 6 4 6 2 6 0 6 2 0 0 0 0 0 2 2 0 6 2 4 2 2 0 4 6 0 2 6 0 4 6 2 0 2 6 2 0 2 2 6 4 6 4 0 6 0 2 6 6 6 2 0 2 0 0 0 0 4 0 0 0 0 0 0 4 4 4 0 4 0 0 0 4 0 4 4 4 0 4 4 0 4 0 0 0 4 4 0 0 4 4 0 4 4 0 0 0 0 0 0 4 0 4 4 0 4 4 0 4 4 4 0 0 4 0 4 0 0 0 4 0 4 4 0 0 4 4 0 0 0 0 0 0 4 0 4 0 0 0 0 0 0 0 4 4 0 4 4 4 0 4 4 0 4 4 4 4 4 4 4 0 0 4 4 0 4 0 4 4 0 0 4 0 0 4 4 4 0 0 generates a code of length 42 over Z8 who´s minimum homogenous weight is 34. Homogenous weight enumerator: w(x)=1x^0+48x^34+92x^35+112x^36+178x^37+260x^38+322x^39+408x^40+460x^41+450x^42+422x^43+355x^44+316x^45+252x^46+158x^47+71x^48+60x^49+68x^50+30x^51+12x^52+10x^53+8x^54+2x^58+1x^60 The gray image is a code over GF(2) with n=168, k=12 and d=68. This code was found by Heurico 1.16 in 0.568 seconds.