The generator matrix

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

generates a code of length 94 over Z3[X]/(X^2) who´s minimum homogenous weight is 177.

Homogenous weight enumerator: w(x)=1x^0+118x^177+306x^178+186x^179+374x^180+546x^181+282x^182+362x^183+522x^184+270x^185+338x^186+372x^187+186x^188+288x^189+288x^190+180x^191+192x^192+234x^193+114x^194+156x^195+210x^196+102x^197+158x^198+234x^199+66x^200+100x^201+120x^202+30x^203+36x^204+42x^205+30x^206+28x^207+12x^208+12x^209+30x^210+24x^211+6x^214+6x^216

The gray image is a linear code over GF(3) with n=282, k=8 and d=177.
This code was found by Heurico 1.16 in 1.11 seconds.