The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  1  1  3  1  3  1
 0  3  0  0  0  0  3  6  6  0  0  3  3  3  3  3  3  3  0  6  0  6  0  6  6  6  6  6  0  3  6  0  3  6  3  6
 0  0  3  0  0  3  6  0  6  0  3  3  6  6  0  3  0  3  3  3  3  0  0  3  6  6  3  6  3  3  3  0  0  0  6  0
 0  0  0  3  0  6  6  3  0  3  3  0  0  3  6  3  3  6  6  0  3  0  0  6  6  6  6  3  0  0  3  3  0  6  0  6
 0  0  0  0  3  6  6  6  6  6  0  6  0  0  6  6  0  3  0  0  3  6  6  6  0  3  3  6  3  3  0  3  0  0  3  3

generates a code of length 36 over Z9 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+88x^66+174x^69+256x^72+148x^75+24x^78+8x^81+16x^84+12x^90+2x^99

The gray image is a code over GF(3) with n=108, k=6 and d=66.
This code was found by Heurico 1.16 in 32 seconds.