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 2 2 2 2 1 1 1 4 1 1 0 2 0 0 0 0 0 0 0 0 0 0 6 6 6 2 4 2 2 6 4 4 0 4 0 4 2 2 0 2 4 0 2 4 0 2 6 2 2 2 2 0 0 2 0 0 0 0 0 0 0 0 2 0 2 6 2 6 4 4 2 6 0 4 4 2 2 4 0 2 0 4 4 2 6 6 6 6 4 0 6 6 0 0 0 2 0 0 0 2 6 2 4 2 6 0 2 0 4 0 0 4 2 2 2 4 0 2 6 4 6 2 0 4 6 6 6 0 0 4 0 2 0 0 0 0 0 2 0 2 2 2 4 6 0 4 2 6 6 0 0 6 0 2 6 2 4 6 0 6 6 2 4 2 6 0 6 6 2 4 0 2 0 4 0 0 0 0 0 2 2 4 6 2 0 0 0 4 4 2 6 2 6 2 0 4 6 6 0 6 6 4 2 6 0 4 6 6 0 6 4 2 0 6 4 0 0 0 0 0 0 4 4 4 0 4 4 4 0 4 0 4 0 0 0 4 0 0 4 4 0 0 0 0 0 4 4 0 0 0 4 4 0 0 4 0 generates a code of length 41 over Z8 who´s minimum homogenous weight is 32. Homogenous weight enumerator: w(x)=1x^0+252x^32+592x^34+905x^36+64x^37+1372x^38+1024x^39+2952x^40+1920x^41+3062x^42+1024x^43+1518x^44+64x^45+874x^46+503x^48+170x^50+73x^52+10x^54+3x^56+1x^72 The gray image is a code over GF(2) with n=164, k=14 and d=64. This code was found by Heurico 1.16 in 9.86 seconds.