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

generates a code of length 35 over Z7[X]/(X^2) who´s minimum homogenous weight is 189.

Homogenous weight enumerator: w(x)=1x^0+168x^189+486x^196+462x^203+2058x^204+384x^210+12348x^211+324x^217+240x^224+216x^231+84x^238+36x^245

The gray image is a linear code over GF(7) with n=245, k=5 and d=189.
This code was found by Heurico 1.16 in 0.153 seconds.