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

generates a code of length 48 over Z3[X]/(X^3) who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+222x^92+214x^93+162x^94+372x^95+342x^96+324x^97+282x^98+128x^99+42x^101+30x^102+42x^104+12x^105+6x^107+6x^110+2x^129

The gray image is a linear code over GF(3) with n=432, k=7 and d=276.
This code was found by Heurico 1.16 in 0.56 seconds.