The generator matrix

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

generates a code of length 94 over Z3[X]/(X^3) who´s minimum homogenous weight is 177.

Homogenous weight enumerator: w(x)=1x^0+526x^177+234x^178+576x^179+1730x^180+1872x^181+2016x^182+2694x^183+3636x^184+3366x^185+4110x^186+5904x^187+4752x^188+4788x^189+5796x^190+4626x^191+3464x^192+3708x^193+1980x^194+1392x^195+720x^196+180x^197+460x^198+208x^201+122x^204+136x^207+22x^210+24x^213+2x^216+2x^219+2x^225

The gray image is a linear code over GF(3) with n=846, k=10 and d=531.
This code was found by Heurico 1.16 in 24 seconds.