The generator matrix 1 1 1 1 1 1 1 1 1 1 1 2 1 0 1 2 1 0 1 2 1 1 1 0 1 2 1 0 1 2 1 0 1 2 2 1 4 1 2 4 1 0 2 0 6 0 6 0 6 0 6 0 2 6 2 4 6 6 2 6 6 0 0 0 2 6 6 6 2 0 6 6 2 0 0 6 0 4 4 4 4 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 4 4 4 0 0 4 0 0 0 4 4 0 0 4 4 4 0 0 4 4 0 4 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 0 0 0 4 4 4 4 4 0 4 0 0 4 4 0 0 4 4 0 4 4 4 4 0 0 4 4 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 4 0 0 0 4 4 0 0 0 4 4 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 4 4 0 4 4 4 0 4 4 4 0 4 4 0 0 4 4 0 0 4 0 4 0 4 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 4 4 0 0 4 4 4 4 4 0 0 0 0 0 4 0 4 4 4 0 4 4 0 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 4 4 0 0 0 0 0 4 0 0 0 4 4 0 4 4 4 0 4 0 0 4 0 4 4 4 4 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 4 4 0 4 4 0 0 0 4 0 0 4 4 0 0 4 4 4 0 4 4 4 0 0 4 4 4 4 0 0 0 0 0 0 0 0 0 4 0 0 4 4 0 4 0 4 4 0 0 4 4 0 0 0 0 4 0 4 0 4 4 0 0 0 0 0 4 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 4 4 4 0 0 4 0 4 0 0 0 0 4 0 0 4 0 4 4 4 0 0 0 4 4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 4 4 4 4 0 4 4 0 0 generates a code of length 41 over Z8 who´s minimum homogenous weight is 28. Homogenous weight enumerator: w(x)=1x^0+193x^28+68x^30+710x^32+32x^33+642x^34+256x^35+2242x^36+896x^37+3162x^38+1792x^39+5472x^40+2240x^41+4532x^42+1792x^43+4098x^44+896x^45+1592x^46+256x^47+1218x^48+32x^49+234x^50+330x^52+10x^54+52x^56+17x^60+3x^64 The gray image is a code over GF(2) with n=164, k=15 and d=56. This code was found by Heurico 1.16 in 29.9 seconds.