The generator matrix

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

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+150x^126+378x^127+504x^128+1680x^133+1890x^134+1344x^135+4620x^140+3906x^141+2268x^142+18x^147+24x^154+24x^161

The gray image is a linear code over GF(7) with n=161, k=5 and d=126.
This code was found by Heurico 1.16 in 0.0358 seconds.