The generator matrix

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

generates a code of length 93 over Z3[X]/(X^3) who´s minimum homogenous weight is 181.

Homogenous weight enumerator: w(x)=1x^0+672x^181+558x^182+616x^183+1236x^184+414x^185+412x^186+714x^187+306x^188+68x^189+582x^190+234x^191+272x^192+324x^193+108x^194+2x^195+18x^196+6x^202+6x^205+6x^208+4x^213+2x^222

The gray image is a linear code over GF(3) with n=837, k=8 and d=543.
This code was found by Heurico 1.16 in 11 seconds.