The generator matrix

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

generates a code of length 49 over Z3[X]/(X^3) who´s minimum homogenous weight is 90.

Homogenous weight enumerator: w(x)=1x^0+368x^90+144x^91+324x^92+1222x^93+774x^94+864x^95+2432x^96+2322x^97+1782x^98+3196x^99+2178x^100+1296x^101+1846x^102+414x^103+108x^104+312x^105+54x^108+26x^111+10x^114+6x^117+2x^120+2x^126

The gray image is a linear code over GF(3) with n=441, k=9 and d=270.
This code was found by Heurico 1.16 in 1.95 seconds.