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

generates a code of length 98 over Z3[X]/(X^3) who´s minimum homogenous weight is 183.

Homogenous weight enumerator: w(x)=1x^0+240x^183+558x^186+864x^189+324x^190+1536x^192+1944x^193+2872x^195+3888x^196+2920x^198+2592x^199+786x^201+432x^204+286x^207+248x^210+96x^213+32x^216+26x^219+14x^222+4x^225+8x^228+6x^231+4x^234+2x^270

The gray image is a linear code over GF(3) with n=882, k=9 and d=549.
This code was found by Heurico 1.16 in 60.6 seconds.