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

generates a code of length 43 over Z9 who´s minimum homogenous weight is 79.

Homogenous weight enumerator: w(x)=1x^0+120x^79+228x^80+84x^81+222x^82+222x^83+32x^84+228x^85+204x^86+54x^87+168x^88+90x^89+24x^90+120x^91+120x^92+32x^93+78x^94+84x^95+12x^96+36x^97+24x^98+2x^99+2x^111

The gray image is a code over GF(3) with n=129, k=7 and d=79.
This code was found by Heurico 1.16 in 0.0749 seconds.