The generator matrix

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

generates a code of length 8 over Z27 who´s minimum homogenous weight is 11.

Homogenous weight enumerator: w(x)=1x^0+120x^11+92x^12+882x^14+320x^15+2916x^16+1764x^17+296x^18+150x^20+16x^21+4x^24

The gray image is a code over GF(3) with n=72, k=8 and d=33.
This code was found by Heurico 1.16 in 0.0114 seconds.