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

generates a code of length 33 over Z7[X]/(X^2) who´s minimum homogenous weight is 175.

Homogenous weight enumerator: w(x)=1x^0+84x^175+444x^182+474x^189+2058x^192+372x^196+12348x^199+342x^203+276x^210+252x^217+102x^224+54x^231

The gray image is a linear code over GF(7) with n=231, k=5 and d=175.
This code was found by Heurico 1.16 in 0.141 seconds.