The generator matrix

 1  0  1  1  1  1  1 21  1  1  1  0 24
 0  1  7 26 21  4 20  1 24 19 23  3  1
 0  0  9  0 18  9 18  0  9 18  0  0  9
 0  0  0  9  9 18 18  9  9  0  0 18 18

generates a code of length 13 over Z27 who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+96x^21+162x^22+1672x^24+648x^25+3174x^27+648x^28+154x^30+2x^33+2x^36+2x^39

The gray image is a code over GF(3) with n=117, k=8 and d=63.
This code was found by Heurico 1.16 in 0.0172 seconds.