The generator matrix
1 0 1 1 1
0 1 5X+1 3 5X+2
generates a code of length 5 over Z7[X]/(X^2) who´s minimum homogenous weight is 24.
Homogenous weight enumerator: w(x)=1x^0+210x^24+30x^28+882x^30+1260x^31+18x^35
The gray image is a linear code over GF(7) with n=35, k=4 and d=24.
This code was found by Heurico 1.16 in 0.00014 seconds.