The generator matrix

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

generates a code of length 17 over Z7[X]/(X^2) who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+156x^84+168x^85+1764x^90+534x^91+1260x^92+2058x^96+21168x^97+426x^98+5208x^99+12348x^103+63504x^104+486x^105+7770x^106+648x^112+150x^119

The gray image is a linear code over GF(7) with n=119, k=6 and d=84.
This code was found by Heurico 1.16 in 1.07 seconds.