The generator matrix

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

generates a code of length 94 over Z3[X]/(X^3) who´s minimum homogenous weight is 179.

Homogenous weight enumerator: w(x)=1x^0+210x^179+438x^180+702x^181+1002x^182+1008x^183+1368x^184+1476x^185+918x^186+1548x^187+1854x^188+1034x^189+2322x^190+1830x^191+1130x^192+1170x^193+636x^194+390x^195+180x^196+174x^197+126x^198+66x^200+28x^201+30x^203+6x^204+12x^206+8x^207+10x^210+2x^216+2x^219+2x^225

The gray image is a linear code over GF(3) with n=846, k=9 and d=537.
This code was found by Heurico 1.16 in 2.88 seconds.