The generator matrix
1 1 1 1 1 1 1 1 1 1 1
0 X 0 0 X X 0 X 2X 4X 3X
0 0 X 0 3X 2X X 4X 0 X X
0 0 0 X 3X X 4X 3X 3X 3X 0
generates a code of length 11 over Z5[X]/(X^2) who´s minimum homogenous weight is 35.
Homogenous weight enumerator: w(x)=1x^0+128x^35+148x^40+2500x^44+108x^45+192x^50+48x^55
The gray image is a linear code over GF(5) with n=55, k=5 and d=35.
This code was found by Heurico 1.16 in 0.00421 seconds.