The generator matrix

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

generates a code of length 42 over Z9 who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+364x^81+186x^84+54x^87+74x^90+30x^93+20x^99

The gray image is a code over GF(3) with n=126, k=6 and d=81.
This code was found by Heurico 1.16 in 53.4 seconds.