The generator matrix

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

generates a code of length 44 over Z9 who´s minimum homogenous weight is 79.

Homogenous weight enumerator: w(x)=1x^0+192x^79+132x^80+396x^81+522x^82+312x^83+420x^84+564x^85+282x^86+408x^87+498x^88+240x^89+328x^90+480x^91+258x^92+360x^93+366x^94+150x^95+186x^96+210x^97+78x^98+76x^99+78x^100+6x^101+12x^102+6x^103

The gray image is a code over GF(3) with n=132, k=8 and d=79.
This code was found by Heurico 1.13 in 0.187 seconds.