The generator matrix

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

generates a code of length 91 over Z3[X]/(X^2) who´s minimum homogenous weight is 162.

Homogenous weight enumerator: w(x)=1x^0+32x^162+6x^163+174x^165+132x^166+332x^168+588x^169+470x^171+870x^172+596x^174+1266x^175+648x^177+1752x^178+950x^180+2124x^181+920x^183+2100x^184+804x^186+1968x^187+684x^189+1326x^190+398x^192+708x^193+172x^195+228x^196+112x^198+48x^199+76x^201+6x^202+72x^204+34x^207+40x^210+18x^213+12x^216+10x^219+6x^222

The gray image is a linear code over GF(3) with n=273, k=9 and d=162.
This code was found by Heurico 1.16 in 10.7 seconds.