The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+272x^78+252x^79+462x^80+1320x^81+684x^82+810x^83+2764x^84+1248x^85+1644x^86+4274x^87+2160x^88+2142x^89+6056x^90+2430x^91+2598x^92+6748x^93+2718x^94+2550x^95+6076x^96+1974x^97+1806x^98+3744x^99+1254x^100+912x^101+1274x^102+354x^103+180x^104+218x^105+42x^106+18x^107+20x^108+6x^109+10x^111+14x^114+10x^117+4x^120

The gray image is a code over GF(3) with n=138, k=10 and d=78.
This code was found by Heurico 1.16 in 31.5 seconds.