The generator matrix

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

generates a code of length 42 over Z9 who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+416x^78+580x^81+474x^84+300x^87+188x^90+174x^93+38x^96+14x^99+2x^114

The gray image is a code over GF(3) with n=126, k=7 and d=78.
This code was found by Heurico 1.16 in 0.0654 seconds.