The generator matrix

 1  0  1  1  1  1  1 21  1  1  1  1  1
 0  1  7 26 21  4 20  1 19 16  4 16  0
 0  0  9  0  0  9  9 18 18  9  0 18  0
 0  0  0  9  0 18  0 18  9  9  9  9  0
 0  0  0  0 18  9  9  9  9  0  9  9  0

generates a code of length 13 over Z27 who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+24x^18+162x^20+72x^21+756x^22+504x^23+2952x^24+1080x^25+5346x^26+5834x^27+2052x^28+756x^29+36x^30+36x^32+72x^33

The gray image is a code over GF(3) with n=117, k=9 and d=54.
This code was found by Heurico 1.16 in 0.111 seconds.