The generator matrix

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

generates a code of length 23 over Z7[X]/(X^2) who´s minimum homogenous weight is 126.

Homogenous weight enumerator: w(x)=1x^0+330x^126+1512x^127+6300x^128+2520x^129+1176x^132+3678x^133+7560x^134+16800x^135+3780x^136+6174x^138+7056x^139+10656x^140+15624x^141+28350x^142+6048x^143+42x^147+24x^154+18x^161

The gray image is a linear code over GF(7) with n=161, k=6 and d=126.
This code was found by Heurico 1.16 in 1.14 seconds.