The generator matrix 1 0 0 1 1 1 1 1 1 1 1 1 0 1 0 7 3 22 1 15 26 19 15 0 0 0 1 14 2 21 1 16 24 18 20 0 0 0 0 9 18 9 0 18 9 18 0 9 generates a code of length 12 over Z27 who´s minimum homogenous weight is 18. Homogenous weight enumerator: w(x)=1x^0+290x^18+264x^19+1542x^20+1580x^21+7308x^22+6012x^23+19094x^24+14400x^25+6030x^26+2076x^27+384x^28+24x^29+40x^30+4x^33 The gray image is a code over GF(3) with n=108, k=10 and d=54. This code was found by Heurico 1.16 in 0.799 seconds.