The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  X  1  1  1  1  1  1  1  1  X  1  X  1  X  1  1
 0  X  0  0  0  0  0  0  0  0  0  0  0  0 2X  X  X 2X 2X 2X  0  X  X 2X  X  X  X  X 2X  0  X  0  X 2X  X 2X 2X  X  X 2X 2X  0  X  X  X  0  X  X 2X  0
 0  0  X  0  0  0  0  0  0  0  0  X 2X 2X  0 2X  X 2X  X  0  X  X  0  X  X 2X  0  X  X  0  X 2X 2X  0  0  X  0  X 2X  0 2X 2X 2X 2X  X  X  X  0  0 2X
 0  0  0  X  0  0  0  0  X 2X 2X 2X  0  0  0  0 2X 2X  X  X 2X  X 2X 2X  0  0  X  X 2X 2X  X  0 2X  X  X  X  X  X 2X  0  0  X  X 2X  0 2X  0  X  X  X
 0  0  0  0  X  0  0  X 2X  0 2X  0  0 2X  0  X 2X 2X  0  X  X 2X  0  X  0  X 2X  X  0  0 2X 2X  0 2X  X 2X  X  0 2X  X  X  X  X  0  X  0  X  X  X  0
 0  0  0  0  0  X  0 2X 2X  X  0 2X 2X 2X 2X  X  X  0  X  X  X 2X  0 2X  0  0  0 2X 2X 2X  X 2X  0  X 2X 2X 2X  X  0  0  X  X  0  X  0  0  X  0  0  X
 0  0  0  0  0  0  X 2X 2X 2X 2X 2X 2X  X  X  0 2X  X  X 2X  0 2X 2X  X  X  0 2X  X 2X  X  X 2X  0  0 2X  0  X 2X 2X 2X  X 2X 2X  0  X  X  0  X 2X  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+94x^84+190x^87+262x^90+396x^93+926x^96+1658x^99+1640x^102+796x^105+178x^108+154x^111+122x^114+84x^117+38x^120+16x^123+2x^126+2x^132+2x^135

The gray image is a linear code over GF(3) with n=150, k=8 and d=84.
This code was found by Heurico 1.16 in 0.943 seconds.