The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+62x^12+504x^14+236x^15+2268x^16+1620x^17+8342x^18+4536x^19+1728x^20+334x^21+36x^23+16x^24

The gray image is a code over GF(3) with n=81, k=9 and d=36.
This code was found by Heurico 1.16 in 0.0654 seconds.