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 1 1 1 1 1 1 1 1 1 1 1 X 1 1
0 X 0 0 0 0 0 0 0 0 2X X X X X X X X X X 2X 0 0 X X 2X X 0 0 0 X 0 2X X 2X X 2X X 2X 0 2X X 0 2X X 0 2X 2X 2X X 2X 0 X 2X 2X 2X 0 2X X 2X 0 0 2X 0 0 X X 0 2X X 2X 2X 0 X 2X 0 X 2X 2X 2X 2X 0 0 0 0 0 X X 2X 2X 0 X X 0 2X X 0 X X
0 0 X 0 0 0 X X X 2X 0 X 2X X X 2X 2X 0 X X 0 X 0 2X 0 X 0 X 0 0 X X 0 0 X 0 X 0 X X 0 X 0 X 0 2X X 0 0 X 0 X X 0 0 X 0 X 0 X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 0 0 0 X X 2X X 0 X 0 X 0 X 0 X X 2X X
0 0 0 X 0 X 2X 2X X 2X 0 0 2X 2X 0 0 X X X 2X X X X 2X 0 2X X 0 2X 2X 2X 2X 0 0 X 2X 0 2X 0 0 2X X 2X X X 0 2X 2X 0 X X X 0 2X X X 0 0 2X 2X 0 2X 0 0 X X 0 X X X 0 X X 2X 0 2X 0 X 2X 2X 2X 0 0 X 2X X 2X 0 0 0 X 0 0 2X X X 0 X 2X
0 0 0 0 X 2X 2X 0 2X 2X X X 2X X 0 X X 2X 2X 2X 2X X X 0 2X 0 X 2X 0 2X 0 X 0 X X 2X X 0 0 X 2X X X 2X 0 X 2X X 2X 0 X 0 2X 0 0 0 2X 2X X X 2X X 2X 0 0 0 2X X X 2X X 2X 2X X 0 0 0 0 0 X 2X 0 X 2X 2X 2X 2X 2X 0 X X X X X 0 2X 2X 0 X
generates a code of length 99 over Z3[X]/(X^2) who´s minimum homogenous weight is 192.
Homogenous weight enumerator: w(x)=1x^0+52x^192+76x^195+162x^196+22x^198+324x^199+40x^201+28x^204+4x^207+16x^210+2x^213+2x^294
The gray image is a linear code over GF(3) with n=297, k=6 and d=192.
This code was found by Heurico 1.16 in 0.183 seconds.