The generator matrix

 1  1  1  1  1  1  1  1  1
 0  X  0  0  0  0  X  0  X
 0  0  X  0  0  0 3X  X 3X
 0  0  0  X  0  0 3X 3X 3X
 0  0  0  0  X  0 3X 4X 3X
 0  0  0  0  0  X 3X  X 4X

generates a code of length 9 over Z5[X]/(X^2) who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+56x^15+268x^20+944x^25+2840x^30+4760x^35+62500x^36+4624x^40+2132x^45

The gray image is a linear code over GF(5) with n=45, k=7 and d=15.
This code was found by Heurico 1.16 in 0.538 seconds.