The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+442x^78+1474x^81+2254x^84+3450x^87+3964x^90+3982x^93+2674x^96+1102x^99+232x^102+66x^105+20x^108+12x^111+10x^114

The gray image is a code over GF(3) with n=135, k=9 and d=78.
This code was found by Heurico 1.16 in 6.23 seconds.