The generator matrix

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

generates a code of length 97 over Z3[X]/(X^2) who´s minimum homogenous weight is 183.

Homogenous weight enumerator: w(x)=1x^0+212x^183+150x^184+216x^185+598x^186+240x^187+294x^188+656x^189+240x^190+240x^191+554x^192+192x^193+204x^194+440x^195+234x^196+174x^197+340x^198+156x^199+96x^200+254x^201+66x^202+60x^203+202x^204+78x^205+54x^206+160x^207+54x^208+54x^209+144x^210+24x^211+36x^212+54x^213+6x^214+18x^215+22x^216+18x^217+6x^218+6x^219+6x^221+2x^222

The gray image is a linear code over GF(3) with n=291, k=8 and d=183.
This code was found by Heurico 1.16 in 1.11 seconds.