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 X X X X X X X X 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X X X X X 0 X X X 0 0 0
0 X 0 X 0 X 2X 2X 2X 0 0 X X 0 X 2X 2X 2X 0 0 X X 0 X 2X 2X 2X 0 0 X X 0 X 2X 2X 2X 0 0 X X 0 X 2X 2X 2X 0 0 X X X X 0 X 0 2X 2X 2X X X X 0 0 X 2X 2X 2X 0 0 X X 0 X 2X 2X 2X 0 0 X X X X 2X 2X 0 X X 0 0 2X X X 0
0 0 X 2X 2X X 0 X 2X 0 X 2X X 2X 0 0 X 2X 0 X 2X X 2X 0 0 X 2X 0 X 2X X 2X 0 0 X 2X 0 X 2X X 2X 0 0 X 2X 0 X 2X X 2X 0 X X 2X 0 X 2X 0 2X X X 2X 0 0 X 2X 0 X 2X X 2X 0 0 X 2X 0 X 2X X 2X 0 0 X X X 2X 0 2X 2X 0 X X
generates a code of length 92 over Z3[X]/(X^2) who´s minimum homogenous weight is 185.
Homogenous weight enumerator: w(x)=1x^0+54x^185+12x^186+8x^189+4x^192+2x^201
The gray image is a linear code over GF(3) with n=276, k=4 and d=185.
This code was found by Heurico 1.16 in 0.14 seconds.