The generator matrix

 1  0  1  1  1  1  1
 0  1 5X+1  3 5X+2  6 5X+4

generates a code of length 7 over Z7[X]/(X^2) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+294x^36+336x^42+1764x^43+6x^49

The gray image is a linear code over GF(7) with n=49, k=4 and d=36.
This code was found by Heurico 1.16 in 0.000206 seconds.