The generator matrix

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

generates a code of length 41 over Z7[X]/(X^2) who´s minimum homogenous weight is 231.

Homogenous weight enumerator: w(x)=1x^0+1860x^231+1050x^232+378x^233+84x^234+5460x^237+13578x^238+4662x^239+1134x^240+1008x^241+8190x^244+20508x^245+8106x^246+1302x^247+3024x^248+13104x^251+26118x^252+6762x^253+1302x^254+12x^273+6x^287

The gray image is a linear code over GF(7) with n=287, k=6 and d=231.
This code was found by Heurico 1.16 in 2.8 seconds.