The generator matrix

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

generates a code of length 73 over Z3[X]/(X^2) who´s minimum homogenous weight is 138.

Homogenous weight enumerator: w(x)=1x^0+104x^138+66x^139+120x^140+330x^141+162x^142+138x^143+252x^144+96x^145+42x^146+190x^147+48x^148+72x^149+120x^150+30x^151+78x^152+62x^153+30x^154+12x^155+78x^156+30x^157+6x^158+42x^159+6x^160+18x^161+20x^162+18x^163+12x^165+2x^180+2x^189

The gray image is a linear code over GF(3) with n=219, k=7 and d=138.
This code was found by Heurico 1.13 in 0.101 seconds.