The generator matrix

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

generates a code of length 42 over Z9 who´s minimum homogenous weight is 79.

Homogenous weight enumerator: w(x)=1x^0+96x^79+156x^80+32x^81+78x^82+48x^83+20x^84+60x^85+20x^87+42x^88+108x^89+30x^91+6x^92+12x^94+4x^96+6x^97+6x^98+4x^102

The gray image is a code over GF(3) with n=126, k=6 and d=79.
This code was found by Heurico 1.16 in 1.27 seconds.