The generator matrix

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

generates a code of length 53 over Z3[X]/(X^2) who´s minimum homogenous weight is 91.

Homogenous weight enumerator: w(x)=1x^0+168x^91+240x^92+478x^93+792x^94+1116x^95+856x^96+1680x^97+2004x^98+1524x^99+2406x^100+2676x^101+2320x^102+3438x^103+3924x^104+2612x^105+4092x^106+3990x^107+3118x^108+4080x^109+3954x^110+2356x^111+3114x^112+2538x^113+1390x^114+1518x^115+1128x^116+426x^117+474x^118+258x^119+158x^120+108x^121+36x^122+36x^123+6x^125+12x^126+14x^129+2x^132+4x^135+2x^138

The gray image is a linear code over GF(3) with n=159, k=10 and d=91.
This code was found by Heurico 1.16 in 38.4 seconds.