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

generates a code of length 23 over Z7[X]/(X^2) who´s minimum homogenous weight is 119.

Homogenous weight enumerator: w(x)=1x^0+216x^119+294x^120+738x^126+5292x^127+3984x^133+31752x^134+11004x^140+63504x^141+468x^147+330x^154+66x^161

The gray image is a linear code over GF(7) with n=161, k=6 and d=119.
This code was found by Heurico 1.16 in 1.64 seconds.