The generator matrix 1 0 1 1 1 1 1 21 1 1 1 1 0 1 7 26 21 4 20 1 19 16 4 16 0 0 9 0 0 9 9 18 18 9 0 18 0 0 0 9 0 18 0 18 9 9 9 9 0 0 0 0 18 9 9 9 9 0 9 9 generates a code of length 12 over Z27 who´s minimum homogenous weight is 18. Homogenous weight enumerator: w(x)=1x^0+168x^18+324x^20+468x^21+3402x^22+1296x^23+5238x^24+6804x^25+1296x^26+560x^27+126x^30 The gray image is a code over GF(3) with n=108, k=9 and d=54. This code was found by Heurico 1.16 in 0.113 seconds.