The generator matrix

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

generates a code of length 8 over Z27 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+60x^12+36x^13+90x^14+148x^15+1548x^16+36x^17+194x^18+36x^19+36x^20+2x^24

The gray image is a code over GF(3) with n=72, k=7 and d=36.
This code was found by Heurico 1.16 in 0.00189 seconds.