The generator matrix 1 1 1 0 1 0 0 7 1 generates a code of length 3 over Z8 who´s minimum homogenous weight is 1. Homogenous weight enumerator: w(x)=1x^0+18x^1+111x^2+252x^3+111x^4+18x^5+1x^6 The gray image is a code over GF(2) with n=12, k=9 and d=2. This code was found by an older version of Heurico in 0 seconds.