The generator matrix

 1  0  1  1  1  1  1  1
 0  1  7 21 26 24  0 16
 0  0  9 18  9  0 18 18

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

Homogenous weight enumerator: w(x)=1x^0+48x^12+276x^14+178x^15+972x^16+528x^17+170x^18+6x^20+6x^21+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 0.00119 seconds.