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

generates a code of length 94 over Z3[X]/(X^3) who´s minimum homogenous weight is 174.

Homogenous weight enumerator: w(x)=1x^0+110x^174+508x^177+730x^180+324x^182+906x^183+1944x^185+2458x^186+3888x^188+3998x^189+2592x^191+840x^192+502x^195+428x^198+214x^201+130x^204+44x^207+32x^210+16x^213+8x^216+2x^219+4x^222+2x^228+2x^261

The gray image is a linear code over GF(3) with n=846, k=9 and d=522.
This code was found by Heurico 1.16 in 3.89 seconds.