The generator matrix

 1  0  0  1  1  1  1  1  1  1  3  1  1
 0  1  0  7  3 22 14  1 15 21  3  7 26
 0  0  1 14  2 21 16  1 16 22  1  4 24
 0  0  0  9 18  9  9  0 18  0  9 18  9

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

Homogenous weight enumerator: w(x)=1x^0+342x^20+168x^21+1782x^22+1992x^23+6972x^24+7128x^25+16920x^26+13742x^27+7128x^28+2556x^29+246x^30+60x^32+12x^33

The gray image is a code over GF(3) with n=117, k=10 and d=60.
This code was found by Heurico 1.16 in 0.915 seconds.