The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+236x^81+646x^84+406x^87+330x^90+278x^93+188x^96+88x^99+12x^102+2x^108

The gray image is a code over GF(3) with n=132, k=7 and d=81.
This code was found by Heurico 1.13 in 0.032 seconds.