The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+112x^78+336x^79+498x^80+854x^81+1236x^82+1272x^83+1570x^84+2358x^85+2166x^86+2662x^87+3246x^88+2814x^89+3602x^90+4182x^91+3492x^92+3918x^93+4362x^94+3318x^95+3860x^96+3456x^97+2538x^98+2280x^99+1896x^100+1086x^101+668x^102+660x^103+258x^104+132x^105+126x^106+54x^107+20x^108+12x^109+2x^114+2x^117

The gray image is a code over GF(3) with n=138, k=10 and d=78.
This code was found by Heurico 1.13 in 12.5 seconds.