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

generates a code of length 33 over Z7[X]/(X^2) who´s minimum homogenous weight is 168.

Homogenous weight enumerator: w(x)=1x^0+510x^168+1284x^175+1680x^182+2184x^189+2916x^196+100842x^198+3174x^203+2808x^210+1596x^217+582x^224+72x^231

The gray image is a linear code over GF(7) with n=231, k=6 and d=168.
This code was found by Heurico 1.16 in 6.43 seconds.