The generator matrix

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

generates a code of length 77 over Z3[X]/(X^2) who´s minimum homogenous weight is 129.

Homogenous weight enumerator: w(x)=1x^0+36x^129+160x^132+24x^133+12x^134+396x^135+150x^136+138x^137+706x^138+306x^139+366x^140+1328x^141+570x^142+516x^143+2100x^144+984x^145+1176x^146+2902x^147+1452x^148+1620x^149+4106x^150+1842x^151+2082x^152+5228x^153+1992x^154+2448x^155+5030x^156+2196x^157+2058x^158+4690x^159+1710x^160+1494x^161+2810x^162+1014x^163+762x^164+1604x^165+576x^166+324x^167+736x^168+228x^169+108x^170+456x^171+72x^172+12x^173+224x^174+6x^175+6x^176+142x^177+94x^180+28x^183+16x^186+12x^189

The gray image is a linear code over GF(3) with n=231, k=10 and d=129.
This code was found by Heurico 1.16 in 69.9 seconds.