The generator matrix

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

generates a code of length 69 over Z3[X]/(X^2) who´s minimum homogenous weight is 125.

Homogenous weight enumerator: w(x)=1x^0+288x^125+278x^126+1170x^128+706x^129+1674x^131+904x^132+1848x^134+984x^135+2070x^137+976x^138+1938x^140+996x^141+1668x^143+710x^144+1374x^146+582x^147+726x^149+288x^150+282x^152+84x^153+66x^155+38x^156+18x^158+8x^159+4x^162+2x^165

The gray image is a linear code over GF(3) with n=207, k=9 and d=125.
This code was found by Heurico 1.16 in 7.59 seconds.