The generator matrix

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

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+126x^182+84x^183+168x^186+1260x^188+444x^189+1050x^190+3024x^193+5040x^195+474x^196+2520x^197+18144x^200+17010x^202+390x^203+5880x^204+36288x^207+19908x^209+324x^210+4872x^211+312x^217+186x^224+114x^231+30x^238

The gray image is a linear code over GF(7) with n=238, k=6 and d=182.
This code was found by Heurico 1.16 in 2.7 seconds.