The generator matrix

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

generates a code of length 56 over Z9 who´s minimum homogenous weight is 97.

Homogenous weight enumerator: w(x)=1x^0+174x^97+342x^98+382x^99+774x^100+1194x^101+1042x^102+1716x^103+1968x^104+1662x^105+2694x^106+2988x^107+2092x^108+3450x^109+3366x^110+2704x^111+3816x^112+3894x^113+2784x^114+3876x^115+3984x^116+2462x^117+2964x^118+2394x^119+1432x^120+1650x^121+1332x^122+572x^123+612x^124+372x^125+162x^126+120x^127+30x^128+6x^129+18x^130+6x^131+2x^132+6x^133+2x^135+2x^141+2x^144

The gray image is a code over GF(3) with n=168, k=10 and d=97.
This code was found by Heurico 1.16 in 41.2 seconds.