The generator matrix

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

generates a code of length 50 over Z3[X]/(X^2) who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+106x^84+198x^85+372x^86+256x^87+756x^88+966x^89+392x^90+1668x^91+2004x^92+680x^93+2850x^94+3588x^95+898x^96+4362x^97+4968x^98+1076x^99+5634x^100+5334x^101+1232x^102+5190x^103+4542x^104+862x^105+3498x^106+3060x^107+522x^108+1548x^109+1194x^110+258x^111+456x^112+192x^113+120x^114+78x^115+24x^116+86x^117+6x^118+44x^120+24x^123+2x^126+2x^129

The gray image is a linear code over GF(3) with n=150, k=10 and d=84.
This code was found by Heurico 1.16 in 34.7 seconds.