The generator matrix

 1  0  1  1  1  1  1  1 18 21  1  3  1
 0  1  1 26 18 17 21 25  1  1 21  1  0
 0  0 24  9 21 12 15  3  3  9  0  3  6

generates a code of length 13 over Z27 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+312x^22+54x^23+872x^24+954x^25+1674x^26+1602x^27+936x^28+54x^29+30x^30+66x^31+4x^33+2x^36

The gray image is a code over GF(3) with n=117, k=8 and d=66.
This code was found by Heurico 1.16 in 0.0173 seconds.