The generator matrix

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

generates a code of length 53 over Z3[X]/(X^3) who´s minimum homogenous weight is 93.

Homogenous weight enumerator: w(x)=1x^0+52x^93+18x^95+528x^96+72x^97+288x^98+1304x^99+1044x^100+1476x^101+4210x^102+4824x^103+3654x^104+6610x^105+9162x^106+4734x^107+7290x^108+6408x^109+2736x^110+3298x^111+360x^112+216x^113+500x^114+160x^117+44x^120+26x^123+20x^126+8x^129+4x^132+2x^138

The gray image is a linear code over GF(3) with n=477, k=10 and d=279.
This code was found by Heurico 1.16 in 7.69 seconds.