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

generates a code of length 47 over Z7[X]/(X^2) who´s minimum homogenous weight is 245.

Homogenous weight enumerator: w(x)=1x^0+168x^245+768x^252+1662x^259+1728x^266+2058x^270+1884x^273+24696x^277+2322x^280+74088x^284+2688x^287+2346x^294+1770x^301+1032x^308+366x^315+72x^322

The gray image is a linear code over GF(7) with n=329, k=6 and d=245.
This code was found by Heurico 1.16 in 9.75 seconds.