The generator matrix

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

generates a code of length 6 over Z7[X]/(X^2) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+630x^24+90x^28+5292x^30+7560x^31+108x^35+49392x^36+31752x^37+22680x^38+144x^42

The gray image is a linear code over GF(7) with n=42, k=6 and d=24.
This code was found by Heurico 1.16 in 0.128 seconds.