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

generates a code of length 78 over Z3[X]/(X^2) who´s minimum homogenous weight is 132.

Homogenous weight enumerator: w(x)=1x^0+94x^132+210x^135+54x^136+24x^137+324x^138+312x^139+246x^140+476x^141+636x^142+642x^143+456x^144+1206x^145+1338x^146+484x^147+2412x^148+2592x^149+528x^150+3120x^151+3906x^152+502x^153+4224x^154+4842x^155+544x^156+4458x^157+4932x^158+470x^159+4440x^160+4086x^161+496x^162+2730x^163+2190x^164+526x^165+1662x^166+1140x^167+412x^168+708x^169+276x^170+320x^171+210x^172+30x^173+280x^174+66x^175+200x^177+6x^178+142x^180+52x^183+32x^186+6x^189+4x^192+2x^195

The gray image is a linear code over GF(3) with n=234, k=10 and d=132.
This code was found by Heurico 1.16 in 71.6 seconds.