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

generates a code of length 93 over Z3[X]/(X^3) who´s minimum homogenous weight is 181.

Homogenous weight enumerator: w(x)=1x^0+120x^181+78x^182+24x^183+504x^184+120x^185+30x^186+1008x^187+72x^188+16x^189+150x^190+48x^191+4x^192+6x^194+4x^198+2x^255

The gray image is a linear code over GF(3) with n=837, k=7 and d=543.
This code was found by Heurico 1.16 in 4.85 seconds.