The generator matrix

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

generates a code of length 24 over Z7[X]/(X^2) who´s minimum homogenous weight is 126.

Homogenous weight enumerator: w(x)=1x^0+534x^126+126x^127+294x^132+5004x^133+1386x^134+3528x^139+27660x^140+5082x^141+10584x^146+54858x^147+7812x^148+396x^154+330x^161+54x^168

The gray image is a linear code over GF(7) with n=168, k=6 and d=126.
This code was found by Heurico 1.16 in 1.69 seconds.