The generator matrix 1 0 0 1 1 1 2 0 4 0 1 0 1 2 3 1 0 0 0 0 1 1 1 0 1 1 1 0 0 0 2 0 6 0 6 2 0 0 0 0 4 0 0 0 4 0 0 0 0 0 4 0 0 4 0 0 0 0 0 0 4 0 4 0 0 0 0 0 0 0 4 4 generates a code of length 9 over Z8 who´s minimum homogenous weight is 4. Homogenous weight enumerator: w(x)=1x^0+116x^4+288x^5+784x^6+4224x^7+5278x^8+11456x^9+5152x^10+4224x^11+868x^12+288x^13+80x^14+9x^16 The gray image is a code over GF(2) with n=36, k=15 and d=8. This code was found by Heurico 1.16 in 0.455 seconds.