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

generates a code of length 98 over Z3[X]/(X^2) who´s minimum homogenous weight is 177.

Homogenous weight enumerator: w(x)=1x^0+92x^177+182x^180+224x^183+18x^184+222x^186+72x^187+198x^189+288x^190+180x^192+1008x^193+146x^195+1548x^196+132x^198+1008x^199+152x^201+432x^202+128x^204+90x^207+106x^210+70x^213+92x^216+74x^219+36x^222+30x^225+18x^228+6x^231+4x^234+2x^237+2x^276

The gray image is a linear code over GF(3) with n=294, k=8 and d=177.
This code was found by Heurico 1.16 in 2.21 seconds.