The generator matrix

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

generates a code of length 97 over Z3[X]/(X^2) who´s minimum homogenous weight is 176.

Homogenous weight enumerator: w(x)=1x^0+318x^176+304x^177+1266x^179+1012x^180+2388x^182+1390x^183+3540x^185+1922x^186+4392x^188+2218x^189+5046x^191+2364x^192+5430x^194+2850x^195+5130x^197+2472x^198+4512x^200+2078x^201+3636x^203+1480x^204+2094x^206+924x^207+1074x^209+466x^210+408x^212+120x^213+78x^215+32x^216+48x^218+16x^219+6x^221+16x^222+10x^225+2x^228+2x^231+2x^237+2x^240

The gray image is a linear code over GF(3) with n=291, k=10 and d=176.
This code was found by Heurico 1.16 in 83.5 seconds.