The generator matrix

 1  0  1  1  1  1  1 21  1  1  1  1  1
 0  1  7 21 26  4 20  1 24 21 16 19  0
 0  0  9 18  9  0 18 18  0  9 18  0 18

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

Homogenous weight enumerator: w(x)=1x^0+72x^22+420x^24+294x^25+324x^26+776x^27+276x^28+12x^30+6x^31+6x^33

The gray image is a code over GF(3) with n=117, k=7 and d=66.
This code was found by Heurico 1.16 in 0.00271 seconds.