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

generates a code of length 46 over Z9 who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+280x^78+252x^81+288x^84+1084x^87+1152x^90+1152x^93+1320x^96+588x^99+72x^102+242x^105+80x^108+44x^114+6x^117

The gray image is a code over GF(3) with n=138, k=8 and d=78.
This code was found by Heurico 1.16 in 96.5 seconds.