The generator matrix

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

generates a code of length 15 over Z5[X]/(X^2) who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+304x^45+260x^46+700x^48+2580x^49+3616x^50+1260x^51+3400x^52+7200x^53+12360x^54+11596x^55+12560x^56+27200x^57+27000x^58+35540x^59+53016x^60+42060x^61+54400x^62+37600x^63+34520x^64+19476x^65+3860x^66+72x^70+44x^75

The gray image is a linear code over GF(5) with n=75, k=8 and d=45.
This code was found by Heurico 1.16 in 33.6 seconds.