The generator matrix

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

generates a code of length 44 over Z9 who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+254x^84+176x^87+148x^90+104x^93+40x^96+4x^108+2x^120

The gray image is a code over GF(3) with n=132, k=6 and d=84.
This code was found by Heurico 1.16 in 0.0499 seconds.