The generator matrix

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

generates a code of length 79 over Z3[X]/(X^2) who´s minimum homogenous weight is 148.

Homogenous weight enumerator: w(x)=1x^0+246x^148+330x^149+326x^150+372x^151+390x^152+336x^153+432x^154+450x^155+236x^156+396x^157+396x^158+220x^159+312x^160+288x^161+180x^162+192x^163+198x^164+170x^165+180x^166+180x^167+126x^168+114x^169+54x^170+62x^171+120x^172+102x^173+38x^174+42x^175+30x^176+6x^177+12x^178+6x^179+12x^181+6x^182

The gray image is a linear code over GF(3) with n=237, k=8 and d=148.
This code was found by Heurico 1.16 in 2.93 seconds.