The generator matrix

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

generates a code of length 80 over Z3[X]/(X^2) who´s minimum homogenous weight is 152.

Homogenous weight enumerator: w(x)=1x^0+180x^152+116x^153+378x^155+262x^156+258x^158+48x^159+168x^161+108x^162+186x^164+110x^165+126x^167+6x^168+60x^170+10x^171+66x^173+48x^174+30x^176+6x^179+8x^180+8x^183+4x^192

The gray image is a linear code over GF(3) with n=240, k=7 and d=152.
This code was found by Heurico 1.16 in 0.528 seconds.