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

generates a code of length 94 over Z3[X]/(X^3) who´s minimum homogenous weight is 180.

Homogenous weight enumerator: w(x)=1x^0+128x^180+132x^181+186x^182+478x^183+354x^184+414x^185+760x^186+624x^187+762x^188+648x^189+642x^190+492x^191+416x^192+96x^193+30x^194+66x^195+30x^196+30x^197+82x^198+24x^199+6x^200+40x^201+18x^202+24x^203+38x^204+12x^205+12x^207+12x^208+2x^210+2x^252

The gray image is a linear code over GF(3) with n=846, k=8 and d=540.
This code was found by Heurico 1.16 in 0.821 seconds.