The generator matrix

 1  0  0  0  1  1  1 24  1  1 18 21  1  1  1
 0  1  0  0 15 19 16  1 18  7  1  1 24  1  9
 0  0  1  0 16 19 14 25 24  2  6 25 20  6 18
 0  0  0  1 14 21 17  2  4  1 20 16 20  8 15

generates a code of length 15 over Z27 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+336x^22+282x^23+3430x^24+3714x^25+16272x^26+18588x^27+70242x^28+63054x^29+124508x^30+135420x^31+62898x^32+25102x^33+6528x^34+864x^35+164x^36+30x^37+4x^39+4x^42

The gray image is a code over GF(3) with n=135, k=12 and d=66.
This code was found by Heurico 1.16 in 75.7 seconds.