The generator matrix

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

generates a code of length 74 over Z3[X]/(X^2) who´s minimum homogenous weight is 126.

Homogenous weight enumerator: w(x)=1x^0+168x^126+328x^129+36x^130+24x^131+670x^132+120x^133+180x^134+1174x^135+462x^136+492x^137+1980x^138+864x^139+1002x^140+3196x^141+1392x^142+1842x^143+4268x^144+2256x^145+2358x^146+5132x^147+2652x^148+2658x^149+5414x^150+2256x^151+2400x^152+4512x^153+1716x^154+1350x^155+2822x^156+978x^157+690x^158+1494x^159+282x^160+114x^161+832x^162+102x^163+12x^164+378x^165+6x^166+206x^168+124x^171+52x^174+34x^177+18x^180+2x^186

The gray image is a linear code over GF(3) with n=222, k=10 and d=126.
This code was found by Heurico 1.16 in 82.6 seconds.