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

generates a code of length 50 over Z3[X]/(X^2) who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+32x^87+102x^90+106x^93+132x^96+486x^98+64x^99+972x^101+80x^102+40x^105+24x^108+38x^111+44x^114+34x^117+26x^120+4x^123+2x^147

The gray image is a linear code over GF(3) with n=150, k=7 and d=87.
This code was found by Heurico 1.16 in 0.112 seconds.