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  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 4X  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  0 6X  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  0 3X  0

generates a code of length 34 over Z7[X]/(X^2) who´s minimum homogenous weight is 182.

Homogenous weight enumerator: w(x)=1x^0+120x^182+510x^189+450x^196+2058x^198+366x^203+12348x^205+270x^210+282x^217+276x^224+90x^231+36x^238

The gray image is a linear code over GF(7) with n=238, k=5 and d=182.
This code was found by Heurico 1.16 in 0.148 seconds.