The generator matrix

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

generates a code of length 61 over Z9 who´s minimum homogenous weight is 109.

Homogenous weight enumerator: w(x)=1x^0+150x^109+252x^110+328x^111+594x^112+672x^113+626x^114+828x^115+1050x^116+748x^117+1014x^118+996x^119+770x^120+1248x^121+1254x^122+750x^123+1272x^124+1218x^125+788x^126+1038x^127+1002x^128+512x^129+648x^130+558x^131+414x^132+354x^133+216x^134+110x^135+102x^136+72x^137+44x^138+30x^139+8x^141+12x^142+2x^147+2x^150

The gray image is a code over GF(3) with n=183, k=9 and d=109.
This code was found by Heurico 1.16 in 5.43 seconds.