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

generates a code of length 95 over Z3[X]/(X^3) who´s minimum homogenous weight is 171.

Homogenous weight enumerator: w(x)=1x^0+70x^171+186x^174+200x^177+30x^178+216x^180+186x^181+272x^183+396x^184+158x^186+930x^187+182x^189+14280x^190+126x^192+1062x^193+130x^195+498x^196+112x^198+114x^199+118x^201+96x^204+76x^207+74x^210+44x^213+58x^216+28x^219+18x^222+14x^225+6x^228+2x^258

The gray image is a linear code over GF(3) with n=855, k=9 and d=513.
This code was found by Heurico 1.16 in 5.51 seconds.