The generator matrix
1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1
0 1 5X+1 3 5X+2 6 5X+4 5 X 4X+1 X+3 4X+2 X+6 4X+4 X+5 1 3X
generates a code of length 17 over Z7[X]/(X^2) who´s minimum homogenous weight is 97.
Homogenous weight enumerator: w(x)=1x^0+588x^97+132x^98+1470x^104+210x^105
The gray image is a linear code over GF(7) with n=119, k=4 and d=97.
This code was found by Heurico 1.16 in 0.00102 seconds.