The generator matrix

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

generates a code of length 71 over Z3[X]/(X^2) who´s minimum homogenous weight is 126.

Homogenous weight enumerator: w(x)=1x^0+236x^126+750x^127+836x^129+1944x^130+1340x^132+3204x^133+2188x^135+4614x^136+2488x^138+5604x^139+3080x^141+6258x^142+3036x^144+6384x^145+2890x^147+5208x^148+1964x^150+3216x^151+1072x^153+1530x^154+416x^156+528x^157+92x^159+120x^160+18x^162+6x^163+8x^165+2x^168+8x^171+2x^174+2x^177+2x^180+2x^183

The gray image is a linear code over GF(3) with n=213, k=10 and d=126.
This code was found by Heurico 1.16 in 59.6 seconds.