The generator matrix

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

generates a code of length 97 over Z3[X]/(X^2) who´s minimum homogenous weight is 178.

Homogenous weight enumerator: w(x)=1x^0+90x^178+198x^179+130x^180+486x^181+540x^182+232x^183+768x^184+942x^185+230x^186+996x^187+954x^188+302x^189+1134x^190+1206x^191+230x^192+1314x^193+1188x^194+254x^195+1026x^196+1098x^197+228x^198+966x^199+1128x^200+176x^201+930x^202+744x^203+166x^204+498x^205+420x^206+104x^207+312x^208+198x^209+38x^210+174x^211+96x^212+40x^213+36x^214+30x^215+6x^216+18x^217+6x^218+16x^219+10x^222+12x^225+10x^228+2x^231

The gray image is a linear code over GF(3) with n=291, k=9 and d=178.
This code was found by Heurico 1.16 in 10.1 seconds.