The generator matrix

 1  1  1  1  1  1  1  1  1  3  3  1  1
 0  3  0 21 24  0  3 24 18 21 15 18  0
 0  0  3  6  0 24  3  9 21  9 12 21  9
 0  0  0  9  9  9  0 18  9  9  0 18  9

generates a code of length 13 over Z27 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+66x^20+36x^21+252x^22+240x^23+726x^24+540x^25+2286x^26+1358x^27+594x^28+276x^29+54x^30+72x^31+48x^32+12x^33

The gray image is a code over GF(3) with n=117, k=8 and d=60.
This code was found by Heurico 1.16 in 0.0289 seconds.