The generator matrix 1 0 1 1 1 1 1 1 0 1 1 26 25 16 4 16 0 0 24 0 3 18 0 15 0 0 0 9 0 18 9 18 0 0 0 0 9 18 18 18 generates a code of length 8 over Z27 who´s minimum homogenous weight is 9. Homogenous weight enumerator: w(x)=1x^0+76x^9+162x^10+780x^12+972x^13+7290x^14+2760x^15+28188x^16+14580x^17+2776x^18+1296x^19+156x^21+12x^24 The gray image is a code over GF(3) with n=72, k=10 and d=27. This code was found by Heurico 1.16 in 0.263 seconds.