The generator matrix

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

generates a code of length 75 over Z5[X]/(X^2) who´s minimum homogenous weight is 287.

Homogenous weight enumerator: w(x)=1x^0+320x^287+640x^288+112x^290+1840x^292+1780x^293+220x^295+1300x^297+1640x^298+188x^300+1660x^302+1400x^303+4x^305+1820x^307+1460x^308+16x^310+560x^312+580x^313+28x^315+12x^320+12x^325+8x^335+4x^340+12x^345+8x^350

The gray image is a linear code over GF(5) with n=375, k=6 and d=287.
This code was found by Heurico 1.16 in 1.47 seconds.