The generator matrix

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

generates a code of length 19 over Z7[X]/(X^2) who´s minimum homogenous weight is 103.

Homogenous weight enumerator: w(x)=1x^0+3402x^103+3780x^104+90x^105+3234x^108+17010x^110+10080x^111+162x^112+8232x^114+19404x^115+35154x^117+17010x^118+66x^126+24x^133

The gray image is a linear code over GF(7) with n=133, k=6 and d=103.
This code was found by Heurico 1.16 in 0.908 seconds.