The generator matrix

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

generates a code of length 52 over Z3[X]/(X^2) who´s minimum homogenous weight is 90.

Homogenous weight enumerator: w(x)=1x^0+116x^90+900x^93+1922x^96+2756x^99+3298x^102+3710x^105+3448x^108+2308x^111+904x^114+238x^117+40x^120+14x^123+16x^126+6x^129+2x^132+4x^135

The gray image is a linear code over GF(3) with n=156, k=9 and d=90.
This code was found by Heurico 1.16 in 4.48 seconds.