The generator matrix

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

generates a code of length 93 over Z3[X]/(X^3) who´s minimum homogenous weight is 178.

Homogenous weight enumerator: w(x)=1x^0+360x^178+744x^179+662x^180+1320x^181+1614x^182+1128x^183+2010x^184+1848x^185+1554x^186+1440x^187+1560x^188+1140x^189+1320x^190+918x^191+528x^192+672x^193+468x^194+78x^195+114x^196+54x^197+4x^198+24x^199+36x^200+12x^202+18x^203+2x^204+6x^205+18x^206+2x^207+6x^209+6x^211+6x^212+2x^213+6x^214+2x^222

The gray image is a linear code over GF(3) with n=837, k=9 and d=534.
This code was found by Heurico 1.16 in 2.85 seconds.