The generator matrix

 1  0  0  1  1  1  1  1  1  1  1  1
 0  1  0  6  1  7  8  0  1  4  3  5
 0  0  1  7  1  6  2  8  4  6  3  7

generates a code of length 12 over Z9 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+78x^20+70x^21+78x^22+114x^23+100x^24+60x^25+78x^26+68x^27+24x^28+54x^29+2x^30+2x^33

The gray image is a code over GF(3) with n=36, k=6 and d=20.
This code was found by Heurico 1.16 in 0.00164 seconds.