The generator matrix

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

generates a code of length 22 over Z7[X]/(X^2) who´s minimum homogenous weight is 105.

Homogenous weight enumerator: w(x)=1x^0+372x^105+1362x^112+1884x^119+2784x^126+100842x^132+3684x^133+4164x^140+2088x^147+468x^154

The gray image is a linear code over GF(7) with n=154, k=6 and d=105.
This code was found by Heurico 1.16 in 3.71 seconds.