The generator matrix

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

generates a code of length 95 over Z3[X]/(X^3) who�s minimum homogenous weight is 182.

Homogenous weight enumerator: w(x)=1x^0+276x^182+68x^183+606x^185+122x^186+1074x^188+202x^189+1458x^190+1626x^191+210x^192+426x^194+90x^195+48x^197+20x^198+150x^200+10x^201+156x^203+4x^204+12x^206+2x^270

The gray image is a linear code over GF(3) with n=855, k=8 and d=546.
This code was found by Heurico 1.16 in 93.9 seconds.