The generator matrix

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

generates a code of length 53 over Z3[X]/(X^2) who´s minimum homogenous weight is 90.

Homogenous weight enumerator: w(x)=1x^0+100x^90+102x^92+230x^93+456x^95+420x^96+1062x^98+588x^99+1686x^101+850x^102+2472x^104+1218x^105+2988x^107+1400x^108+2352x^110+820x^111+1446x^113+438x^114+486x^116+196x^117+72x^119+134x^120+78x^123+62x^126+18x^129+6x^132+2x^135

The gray image is a linear code over GF(3) with n=159, k=9 and d=90.
This code was found by Heurico 1.16 in 6.27 seconds.