The generator matrix 1 0 0 1 1 1 1 1 0 1 0 15 1 16 21 22 0 0 1 16 1 15 22 21 generates a code of length 8 over Z27 who´s minimum homogenous weight is 12. Homogenous weight enumerator: w(x)=1x^0+634x^12+1944x^14+2352x^15+8586x^16+3672x^17+2432x^18+54x^20+8x^21 The gray image is a code over GF(3) with n=72, k=9 and d=36. This code was found by Heurico 1.16 in 0.0859 seconds.