The generator matrix

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

generates a code of length 45 over Z9 who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+72x^78+54x^79+72x^80+256x^81+126x^82+114x^83+468x^84+168x^85+252x^86+618x^87+294x^88+306x^89+830x^90+348x^91+366x^92+670x^93+264x^94+234x^95+466x^96+138x^97+108x^98+162x^99+66x^100+6x^101+36x^102+28x^105+18x^108+12x^111+4x^114+2x^120+2x^126

The gray image is a code over GF(3) with n=135, k=8 and d=78.
This code was found by Heurico 1.16 in 0.553 seconds.