The generator matrix

 1  0  0  1  1  1  1  1  0 2X  1  1  1  X  1  1  1  1  1  1 2X  0  1  1  0  1  1  1  0  1  1  1  1  X  1  1  1 2X  1 2X 2X  1 2X  1  1  1 2X  1  1  1  1  1  1  1  1  1  1  1
 0  1  0  1  0  2  1  2  1  1  0 2X+1 2X+2  1  X 2X+1  X  2  0 2X+1  1  X 2X+2 X+1  1 2X+1  2  0  1 2X+1 X+2  2  0  0  X 2X+1  0  1  X  1  1  0  1 2X  X  1  1 2X 2X 2X+2  1 2X 2X+1 2X+1  0 2X+2 2X+2  0
 0  0  1  2  1  2  1  0  2 2X+1  2 2X 2X+1  1 2X+2 2X+2 X+1  X  0  1 X+2  1 X+2  0  0  2 X+1 2X+2  0 X+1  X 2X+2 2X  1 2X X+2  1 2X+1 2X+1 X+1  2 X+1 X+2  2 2X+1 2X+1 2X  0 X+2  2  X  X  1  1 X+2 2X+1  2  2
 0  0  0 2X  0  0  0  0  0  0  0  0 2X  0  0  X 2X  X  X  X  X  X  X 2X  X  X  0  0  X 2X 2X  0  X 2X 2X 2X  X  X  X  0  X 2X  0 2X  0  0 2X  0  X 2X  0  0 2X 2X 2X  X 2X 2X
 0  0  0  0 2X  0  0  0  0  0  X 2X  0  0 2X  X 2X 2X  0  0  0  0  0  X  X  X  X 2X 2X 2X 2X  X  X  X 2X  X 2X  X 2X  X 2X  X  X  0 2X 2X 2X  X  0  0  0  X  0  X  X 2X 2X  X
 0  0  0  0  0  X  0  X  X 2X  X 2X 2X  0  X 2X 2X 2X  X  X 2X  X 2X 2X 2X  X  X  0 2X  0 2X  0 2X 2X  X  X  X  0 2X 2X 2X 2X  X 2X 2X  0  0  0  0 2X  X  X  X 2X  0  0 2X  X
 0  0  0  0  0  0  X  X  X  X  0  0 2X 2X  0  0  X  X 2X  0  0 2X 2X  X  X  0  0  X  X  0  X  0  X  0  X 2X  X 2X 2X 2X  0 2X  0 2X  X 2X  X  X 2X  X  X  X  0 2X  X 2X  0 2X

generates a code of length 58 over Z3[X]/(X^2) who´s minimum homogenous weight is 99.

Homogenous weight enumerator: w(x)=1x^0+118x^99+114x^100+168x^101+520x^102+648x^103+426x^104+996x^105+1578x^106+978x^107+1626x^108+2418x^109+1386x^110+2606x^111+3906x^112+2226x^113+3216x^114+4872x^115+2418x^116+3478x^117+4992x^118+2340x^119+3144x^120+4140x^121+1830x^122+2242x^123+2442x^124+978x^125+1052x^126+900x^127+318x^128+382x^129+216x^130+54x^131+160x^132+18x^133+68x^135+42x^138+28x^141+2x^144+2x^147

The gray image is a linear code over GF(3) with n=174, k=10 and d=99.
This code was found by Heurico 1.16 in 42 seconds.