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

generates a code of length 44 over Z9 who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+38x^81+136x^84+254x^87+242x^90+16x^93+8x^96+12x^99+10x^102+8x^105+2x^108+2x^126

The gray image is a code over GF(3) with n=132, k=6 and d=81.
This code was found by Heurico 1.16 in 0.018 seconds.