The generator matrix

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

generates a code of length 19 over Z5[X]/(X^2) who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+300x^74+84x^75+200x^79+40x^80

The gray image is a linear code over GF(5) with n=95, k=4 and d=74.
This code was found by Heurico 1.16 in 0.000715 seconds.