The generator matrix

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

generates a code of length 49 over Z3[X]/(X^3) who´s minimum homogenous weight is 93.

Homogenous weight enumerator: w(x)=1x^0+638x^93+486x^94+1324x^96+540x^97+1674x^99+702x^100+906x^102+216x^103+62x^105+6x^108+2x^111+2x^117+2x^138

The gray image is a linear code over GF(3) with n=441, k=8 and d=279.
This code was found by Heurico 1.16 in 30.3 seconds.