The generator matrix

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

generates a code of length 75 over Z3[X]/(X^2) who´s minimum homogenous weight is 126.

Homogenous weight enumerator: w(x)=1x^0+60x^126+6x^128+214x^129+18x^130+18x^131+328x^132+198x^133+174x^134+412x^135+624x^136+558x^137+468x^138+1122x^139+1290x^140+510x^141+2130x^142+2502x^143+512x^144+3420x^145+3972x^146+508x^147+4464x^148+5028x^149+574x^150+4770x^151+5364x^152+558x^153+4410x^154+3894x^155+536x^156+2808x^157+2346x^158+508x^159+1476x^160+870x^161+372x^162+618x^163+156x^164+378x^165+174x^166+66x^167+248x^168+12x^169+186x^171+100x^174+40x^177+32x^180+8x^183+6x^186+2x^192

The gray image is a linear code over GF(3) with n=225, k=10 and d=126.
This code was found by Heurico 1.16 in 67.8 seconds.