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

generates a code of length 42 over Z7[X]/(X^2) who´s minimum homogenous weight is 231.

Homogenous weight enumerator: w(x)=1x^0+372x^231+42x^234+504x^235+798x^237+3888x^238+756x^241+3780x^242+2016x^244+7806x^245+4536x^248+15624x^249+5922x^251+18072x^252+9072x^255+23310x^256+5670x^258+14922x^259+162x^266+168x^273+162x^280+60x^287+6x^294

The gray image is a linear code over GF(7) with n=294, k=6 and d=231.
This code was found by Heurico 1.16 in 3.39 seconds.