The generator matrix
1 0 1 1 1 1 1 1 1
0 1 1 2 3X+4 3 0 3X+1 2
0 0 3X 0 3X 2X 0 4X X
0 0 0 X 3X X 2X 3X 3X
generates a code of length 9 over Z5[X]/(X^2) who´s minimum homogenous weight is 25.
Homogenous weight enumerator: w(x)=1x^0+64x^25+300x^28+100x^30+1500x^32+2400x^33+180x^35+6000x^37+4800x^38+200x^40+80x^45
The gray image is a linear code over GF(5) with n=45, k=6 and d=25.
This code was found by Heurico 1.16 in 0.0274 seconds.