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

generates a code of length 22 over Z7[X]/(X^2) who´s minimum homogenous weight is 112.

Homogenous weight enumerator: w(x)=1x^0+114x^112+168x^114+126x^115+498x^119+882x^120+3024x^121+1386x^122+438x^126+10584x^127+18144x^128+5082x^129+438x^133+31752x^134+36288x^135+7812x^136+456x^140+372x^147+84x^154

The gray image is a linear code over GF(7) with n=154, k=6 and d=112.
This code was found by Heurico 1.16 in 1.57 seconds.