The generator matrix

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

generates a code of length 42 over Z7[X]/(X^2) who´s minimum homogenous weight is 238.

Homogenous weight enumerator: w(x)=1x^0+2856x^238+2898x^239+210x^240+630x^241+924x^242+2646x^243+1092x^244+9396x^245+7140x^246+2520x^247+4032x^248+2856x^249+4998x^250+1344x^251+12234x^252+9954x^253+7560x^254+7686x^255+4452x^256+6762x^257+1680x^258+14868x^259+8820x^260+24x^266+36x^273+30x^280

The gray image is a linear code over GF(7) with n=294, k=6 and d=238.
This code was found by Heurico 1.16 in 2.8 seconds.