The generator matrix

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

generates a code of length 29 over Z7[X]/(X^2) who´s minimum homogenous weight is 154.

Homogenous weight enumerator: w(x)=1x^0+204x^154+168x^156+504x^157+378x^158+480x^161+3024x^163+3780x^164+1806x^165+408x^168+18144x^170+15624x^171+5544x^172+408x^175+36288x^177+23310x^178+6678x^179+396x^182+288x^189+174x^196+42x^203

The gray image is a linear code over GF(7) with n=203, k=6 and d=154.
This code was found by Heurico 1.16 in 2.18 seconds.