The generator matrix

 1  0  0  1  1  1  1  1  1 15  1  1
 0  1  0  1 15 19 17  0 24  1 23  3
 0  0  1 26 16 22 18 26 25 19  1  1
 0  0  0 24 18  9 12  6  3  0 12 15

generates a code of length 12 over Z27 who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+1026x^18+432x^19+4860x^20+4956x^21+21546x^22+19440x^23+54990x^24+43092x^25+19440x^26+6632x^27+540x^28+192x^30

The gray image is a code over GF(3) with n=108, k=11 and d=54.
This code was found by Heurico 1.16 in 6.58 seconds.