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

generates a code of length 34 over Z7[X]/(X^2) who´s minimum homogenous weight is 175.

Homogenous weight enumerator: w(x)=1x^0+654x^175+1470x^182+1800x^189+2166x^196+14406x^198+2814x^203+86436x^205+3216x^210+2652x^217+1476x^224+516x^231+42x^238

The gray image is a linear code over GF(7) with n=238, k=6 and d=175.
This code was found by Heurico 1.16 in 12.1 seconds.