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 0 1 1 2 0 1 0 1 2 2 2 2 2 1 2 0 1 2 4 0 2 1 0 2 0 0 0 0 0 0 0 0 4 2 6 2 4 0 2 6 2 2 6 4 0 2 6 0 6 4 6 2 2 2 2 2 6 2 2 0 4 4 6 4 4 4 2 4 6 2 2 4 4 2 2 0 0 0 2 0 0 0 0 0 0 0 6 4 2 2 2 2 2 2 4 6 0 6 6 0 6 6 4 2 2 2 0 0 4 4 4 2 6 4 4 0 0 0 4 2 4 6 6 4 0 6 0 0 0 0 0 0 0 2 0 0 4 6 2 2 2 6 4 2 2 0 0 4 2 6 0 2 0 0 0 2 6 4 2 6 0 2 4 2 4 2 4 0 0 6 4 6 0 4 6 4 0 4 0 0 2 0 0 0 0 0 0 0 2 0 6 6 6 4 0 0 0 0 4 0 2 6 2 2 0 6 2 6 4 2 2 2 4 6 6 0 6 0 2 4 0 0 0 4 4 0 4 6 6 4 6 6 2 4 0 0 6 0 0 0 0 0 0 2 2 4 6 2 0 0 0 0 6 2 6 0 4 0 6 6 4 0 2 4 2 6 6 2 6 6 2 6 2 2 6 4 2 0 4 4 2 2 6 4 6 4 6 6 4 4 4 0 generates a code of length 54 over Z8 who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+56x^44+72x^45+147x^46+190x^47+314x^48+386x^49+470x^50+584x^51+675x^52+848x^53+791x^54+818x^55+717x^56+580x^57+487x^58+358x^59+189x^60+136x^61+121x^62+88x^63+82x^64+26x^65+31x^66+10x^67+12x^68+2x^72+1x^78 The gray image is a code over GF(2) with n=216, k=13 and d=88. This code was found by Heurico 1.16 in 3.29 seconds.