The generator matrix

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

generates a code of length 48 over Z3[X]/(X^2) who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+444x^80+488x^81+2412x^83+1802x^84+6054x^86+3504x^87+11304x^89+6646x^90+17526x^92+10008x^93+23412x^95+12318x^96+23898x^98+11618x^99+18666x^101+7932x^102+10134x^104+3330x^105+3444x^107+1074x^108+708x^110+286x^111+90x^113+18x^114+6x^116+14x^117+6x^120+4x^126

The gray image is a linear code over GF(3) with n=144, k=11 and d=80.
This code was found by Heurico 1.16 in 397 seconds.