The generator matrix

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

generates a code of length 14 over Z7[X]/(X^2) who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+96x^63+294x^66+330x^70+1176x^72+1764x^73+408x^77+6174x^78+14112x^79+1764x^80+498x^84+37044x^85+42336x^86+10584x^87+768x^91+300x^98

The gray image is a linear code over GF(7) with n=98, k=6 and d=63.
This code was found by Heurico 1.16 in 0.79 seconds.