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
 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  0
 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  0
 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 2X
 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

generates a code of length 32 over Z7[X]/(X^2) who´s minimum homogenous weight is 161.

Homogenous weight enumerator: w(x)=1x^0+342x^161+1134x^168+1704x^175+2124x^182+2826x^189+100842x^192+3072x^196+3180x^203+1692x^210+636x^217+96x^224

The gray image is a linear code over GF(7) with n=224, k=6 and d=161.
This code was found by Heurico 1.16 in 6.17 seconds.