The generator matrix 1 1 1 1 1 1 2 1 1 0 2 0 0 0 0 0 2 4 0 0 2 0 0 0 0 2 6 0 0 0 2 0 0 2 4 0 0 0 0 0 2 0 2 6 2 0 0 0 0 0 2 2 2 4 0 0 0 0 0 0 4 0 4 generates a code of length 9 over Z8 who´s minimum homogenous weight is 3. Homogenous weight enumerator: w(x)=1x^0+24x^3+114x^4+272x^5+540x^6+1000x^7+3456x^8+5600x^9+3400x^10+1000x^11+582x^12+272x^13+92x^14+24x^15+7x^16 The gray image is a code over GF(2) with n=36, k=14 and d=6. This code was found by Heurico 1.16 in 0.147 seconds.