The generator matrix

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

generates a code of length 49 over Z3[X]/(X^2) who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+282x^84+354x^85+348x^86+1428x^87+774x^88+1092x^89+2980x^90+1260x^91+1548x^92+4478x^93+2004x^94+2070x^95+5322x^96+2262x^97+2688x^98+6640x^99+2688x^100+2520x^101+6130x^102+2046x^103+1674x^104+3812x^105+1224x^106+852x^107+1358x^108+372x^109+252x^110+286x^111+132x^112+66x^113+74x^114+6x^115+12x^116+8x^117+2x^120+2x^123+2x^126

The gray image is a linear code over GF(3) with n=147, k=10 and d=84.
This code was found by Heurico 1.16 in 40.3 seconds.