The generator matrix

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

generates a code of length 55 over Z3[X]/(X^2) who´s minimum homogenous weight is 93.

Homogenous weight enumerator: w(x)=1x^0+122x^93+30x^94+150x^95+620x^96+288x^97+396x^98+1742x^99+750x^100+828x^101+2560x^102+1128x^103+1518x^104+4056x^105+1950x^106+2220x^107+5952x^108+2736x^109+2628x^110+6084x^111+2478x^112+2346x^113+5464x^114+2220x^115+1806x^116+3802x^117+1044x^118+864x^119+1536x^120+414x^121+306x^122+574x^123+78x^124+60x^125+176x^126+6x^127+58x^129+30x^132+18x^135+8x^138+2x^141

The gray image is a linear code over GF(3) with n=165, k=10 and d=93.
This code was found by Heurico 1.16 in 39.2 seconds.