The generator matrix

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

generates a code of length 98 over Z3[X]/(X^2) who´s minimum homogenous weight is 176.

Homogenous weight enumerator: w(x)=1x^0+54x^176+216x^177+306x^178+192x^179+614x^180+834x^181+582x^182+1032x^183+1404x^184+816x^185+1522x^186+2028x^187+1242x^188+1984x^189+2844x^190+1506x^191+2222x^192+3456x^193+1680x^194+2614x^195+4062x^196+1902x^197+2798x^198+3786x^199+1830x^200+2204x^201+3114x^202+1440x^203+1930x^204+2124x^205+1008x^206+1234x^207+1314x^208+492x^209+708x^210+666x^211+264x^212+312x^213+276x^214+84x^215+110x^216+24x^217+18x^218+66x^219+12x^221+32x^222+6x^223+32x^225+24x^228+14x^231+4x^234+8x^237+2x^240

The gray image is a linear code over GF(3) with n=294, k=10 and d=176.
This code was found by Heurico 1.16 in 94.8 seconds.