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

generates a code of length 97 over Z3[X]/(X^3) who�s minimum homogenous weight is 183.

Homogenous weight enumerator: w(x)=1x^0+528x^183+432x^184+684x^185+1916x^186+1584x^187+2088x^188+3692x^189+2808x^190+3258x^191+4962x^192+4392x^193+4572x^194+5818x^195+4482x^196+4608x^197+4320x^198+2808x^199+1980x^200+1718x^201+954x^202+306x^203+498x^204+36x^205+250x^207+182x^210+136x^213+22x^216+8x^219+2x^222+4x^225

The gray image is a linear code over GF(3) with n=873, k=10 and d=549.
This code was found by Heurico 1.16 in 17.5 seconds.