The generator matrix

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

generates a code of length 34 over Z7[X]/(X^2) who´s minimum homogenous weight is 195.

Homogenous weight enumerator: w(x)=1x^0+2940x^195+726x^196+4410x^202+672x^203+7056x^209+960x^210+30x^224+12x^231

The gray image is a linear code over GF(7) with n=238, k=5 and d=195.
This code was found by Heurico 1.16 in 42.8 seconds.