The generator matrix

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

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+108x^84+12x^85+42x^86+166x^87+204x^88+330x^89+246x^90+564x^91+552x^92+188x^93+1026x^94+1236x^95+234x^96+1266x^97+1680x^98+238x^99+2148x^100+2028x^101+222x^102+1872x^103+1704x^104+216x^105+1068x^106+852x^107+168x^108+474x^109+282x^110+122x^111+114x^112+42x^113+122x^114+70x^117+60x^120+18x^123+6x^126+2x^129

The gray image is a linear code over GF(3) with n=150, k=9 and d=84.
This code was found by Heurico 1.16 in 4.96 seconds.