The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  3  1  3  1  1  1
 0  3  0  0  0  0  0  0  0  0  3  6  6  3  3  3  0  6  6  3  3  3  0  3  6  3  6  0  3  3  6  3  3  3  6  0  6  0  3  6  0  0  0  0
 0  0  3  0  0  0  0  3  6  6  6  0  0  6  3  6  3  0  3  3  3  0  6  6  6  0  6  3  6  6  6  3  3  3  0  0  3  0  0  0  0  6  0  6
 0  0  0  3  0  0  3  6  0  6  0  0  6  3  3  6  0  3  6  6  6  3  3  0  3  6  0  3  0  3  0  3  6  3  3  0  3  3  3  3  0  3  6  6
 0  0  0  0  3  0  6  6  3  0  6  6  6  0  6  6  0  6  6  3  0  0  6  0  6  6  3  6  0  3  3  0  6  0  0  6  6  6  3  3  3  3  6  3
 0  0  0  0  0  3  6  6  6  6  6  6  3  6  3  3  6  3  0  6  6  0  0  0  6  3  0  6  6  3  6  6  0  3  6  0  3  0  6  0  6  0  6  3

generates a code of length 44 over Z9 who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+154x^78+118x^81+54x^82+324x^85+180x^87+648x^88+66x^90+432x^91+100x^96+42x^99+50x^105+16x^108+2x^123

The gray image is a code over GF(3) with n=132, k=7 and d=78.
This code was found by Heurico 1.16 in 3.85 seconds.