The generator matrix

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

generates a code of length 78 over Z9 who´s minimum homogenous weight is 137.

Homogenous weight enumerator: w(x)=1x^0+420x^137+464x^138+2124x^140+1566x^141+5016x^143+2636x^144+8010x^146+4814x^147+11238x^149+6252x^150+15660x^152+8350x^153+18270x^155+9210x^156+18804x^158+9510x^159+16032x^161+7386x^162+11730x^164+5046x^165+6756x^167+2500x^168+2856x^170+966x^171+930x^173+272x^174+228x^176+40x^177+18x^179+12x^180+6x^182+10x^183+4x^186+6x^189+2x^192+2x^198

The gray image is a code over GF(3) with n=234, k=11 and d=137.
This code was found by Heurico 1.13 in 242 seconds.