The generator matrix

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

generates a code of length 9 over Z27 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+62x^12+234x^14+128x^15+648x^16+864x^17+2240x^18+1296x^19+810x^20+226x^21+36x^23+16x^24

The gray image is a code over GF(3) with n=81, k=8 and d=36.
This code was found by Heurico 1.16 in 0.0136 seconds.