The generator matrix

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

generates a code of length 29 over Z7[X]/(X^2) who´s minimum homogenous weight is 159.

Homogenous weight enumerator: w(x)=1x^0+1092x^159+78x^161+504x^162+924x^163+1428x^164+6510x^165+5166x^166+684x^168+6048x^169+5208x^170+4200x^171+10500x^172+9324x^173+3564x^175+18144x^176+10332x^177+6720x^178+15918x^179+11172x^180+48x^182+72x^189+12x^196

The gray image is a linear code over GF(7) with n=203, k=6 and d=159.
This code was found by Heurico 1.16 in 1.93 seconds.