The generator matrix

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

generates a code of length 79 over Z3[X]/(X^2) who´s minimum homogenous weight is 151.

Homogenous weight enumerator: w(x)=1x^0+198x^151+312x^152+50x^153+288x^154+222x^155+78x^156+120x^157+60x^158+62x^159+132x^160+186x^161+22x^162+54x^163+66x^164+8x^165+48x^166+24x^167+6x^168+60x^169+72x^170+6x^171+54x^172+18x^173+12x^175+6x^176+4x^177+6x^178+6x^179+2x^180+4x^183

The gray image is a linear code over GF(3) with n=237, k=7 and d=151.
This code was found by Heurico 1.16 in 66.4 seconds.