The generator matrix

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

generates a code of length 7 over Z7[X]/(X^2) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+882x^30+126x^35+4116x^36+10584x^37+45360x^42+24696x^43+31752x^44+132x^49

The gray image is a linear code over GF(7) with n=49, k=6 and d=30.
This code was found by Heurico 1.16 in 0.164 seconds.