The generator matrix

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

generates a code of length 49 over Z3[X]/(X^2) who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+128x^81+126x^82+702x^83+968x^84+948x^85+2106x^86+2356x^87+1968x^88+5106x^89+4710x^90+3852x^91+8700x^92+7562x^93+5652x^94+13536x^95+10682x^96+7698x^97+16110x^98+12298x^99+8214x^100+15384x^101+10362x^102+6000x^103+10404x^104+6248x^105+3366x^106+5058x^107+2772x^108+1254x^109+1344x^110+756x^111+252x^112+252x^113+154x^114+36x^115+24x^116+38x^117+6x^119+6x^120+4x^126+2x^129+2x^135

The gray image is a linear code over GF(3) with n=147, k=11 and d=81.
This code was found by Heurico 1.16 in 342 seconds.