The generator matrix

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

generates a code of length 43 over Z7[X]/(X^2) who´s minimum homogenous weight is 238.

Homogenous weight enumerator: w(x)=1x^0+630x^238+630x^241+378x^242+798x^243+3522x^245+5166x^248+1806x^249+2016x^250+5814x^252+20706x^255+5544x^256+5922x^257+12084x^259+31122x^262+6678x^263+5670x^264+8598x^266+234x^273+138x^280+120x^287+66x^294+6x^301

The gray image is a linear code over GF(7) with n=301, k=6 and d=238.
This code was found by Heurico 1.16 in 3.4 seconds.