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  X  1  1  X  1  1  1  1  1  1  1  1  1  1  1  1
 0  X  0  0  0  0  0  X  0 2X  X 4X 4X 2X 3X  X  0  X  X  X 4X 2X 3X  X 4X 2X  0  X 4X  X  X  0 3X  0  X  X 2X  X  0 2X 4X 4X  X 3X  0 4X 4X 2X  0  0
 0  0  X  0  0  0  X 3X 4X 4X 2X 3X  0  X 2X 2X 2X 3X  0 2X  X  0 2X  0 4X  X 2X 2X  X 4X 4X 4X  X 3X  X 2X 2X  X  X  0  0 2X 3X 3X 2X 4X  X  X  X  X
 0  0  0  X  0  0 3X 4X 3X 2X 4X 3X 4X 2X  0  0  0 3X 3X 2X  0 4X 3X 3X  X  X 3X 4X 4X  0 2X 4X  X 3X 3X 3X 2X 3X  0 2X 2X 3X  0  X 4X 4X  X  X  X 2X
 0  0  0  0  X  0 3X  0  0  X 2X  X 4X 4X 3X 4X  X 3X 2X  X  X 3X 4X 2X  0  X 3X  X  0 3X 4X  0 4X 2X  X  0 2X 2X  X 3X  X 3X 4X 4X 4X 4X 3X 2X 2X 3X
 0  0  0  0  0  X 3X  X  X 4X  0 4X 2X 2X 2X 3X 4X 4X 3X 2X 3X  0 4X 4X  X  0  X 3X 3X 4X 4X  0 3X 3X 2X 4X  X  X  0 2X 3X 3X  X 2X  0 4X  0 4X 3X 4X

generates a code of length 50 over Z5[X]/(X^2) who´s minimum homogenous weight is 170.

Homogenous weight enumerator: w(x)=1x^0+212x^170+756x^175+1068x^180+1324x^185+1480x^190+2500x^192+1728x^195+20000x^197+2064x^200+40000x^202+1944x^205+1736x^210+1644x^215+980x^220+444x^225+188x^230+40x^235+16x^240

The gray image is a linear code over GF(5) with n=250, k=7 and d=170.
This code was found by Heurico 1.16 in 18.9 seconds.