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

generates a code of length 48 over Z5[X]/(X^2) who´s minimum homogenous weight is 170.

Homogenous weight enumerator: w(x)=1x^0+92x^170+352x^175+508x^180+500x^184+416x^185+4000x^189+336x^190+8000x^194+364x^195+272x^200+300x^205+240x^210+144x^215+64x^220+20x^225+12x^230+4x^235

The gray image is a linear code over GF(5) with n=240, k=6 and d=170.
This code was found by Heurico 1.16 in 0.746 seconds.