The generator matrix

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

generates a code of length 54 over Z3[X]/(X^2) who´s minimum homogenous weight is 93.

Homogenous weight enumerator: w(x)=1x^0+270x^93+168x^94+294x^95+1276x^96+624x^97+828x^98+2524x^99+1152x^100+1182x^101+3932x^102+1668x^103+2052x^104+4840x^105+2238x^106+2556x^107+6182x^108+2538x^109+2322x^110+5882x^111+2346x^112+2148x^113+4370x^114+1656x^115+1248x^116+2344x^117+624x^118+384x^119+920x^120+84x^121+96x^122+202x^123+18x^124+12x^125+40x^126+6x^127+12x^129+4x^132+2x^135+4x^144

The gray image is a linear code over GF(3) with n=162, k=10 and d=93.
This code was found by Heurico 1.16 in 39.4 seconds.