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

generates a code of length 50 over Z3[X]/(X^2) who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+84x^75+280x^78+494x^81+848x^84+1100x^87+2100x^90+4410x^93+8296x^96+13466x^99+12694x^102+8516x^105+3314x^108+1438x^111+944x^114+576x^117+270x^120+134x^123+52x^126+20x^129+6x^132+4x^135+2x^141

The gray image is a linear code over GF(3) with n=150, k=10 and d=75.
This code was found by Heurico 1.16 in 65.1 seconds.