The generator matrix

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

generates a code of length 8 over Z5[X]/(X^2) who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+160x^29+16x^30+200x^32+240x^34+8x^40

The gray image is a linear code over GF(5) with n=40, k=4 and d=29.
This code was found by Heurico 1.16 in 0.000156 seconds.