The generator matrix 1 1 1 1 1 1 1 1 0 3 0 0 18 21 21 3 0 0 3 0 21 15 6 12 0 0 0 3 15 6 9 6 generates a code of length 8 over Z27 who´s minimum homogenous weight is 10. Homogenous weight enumerator: w(x)=1x^0+96x^10+240x^11+92x^12+576x^13+792x^14+320x^15+14598x^16+1584x^17+296x^18+768x^19+300x^20+16x^21+4x^24 The gray image is a code over GF(3) with n=72, k=9 and d=30. This code was found by Heurico 1.16 in 0.074 seconds.