The generator matrix

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

generates a code of length 15 over Z5[X]/(X^2) who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+300x^58+120x^60+200x^63+4x^75

The gray image is a linear code over GF(5) with n=75, k=4 and d=58.
This code was found by Heurico 1.16 in 0.000446 seconds.