The generator matrix

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

generates a code of length 14 over Z7[X]/(X^2) who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+504x^73+162x^77+588x^78+2520x^80+4176x^84+3528x^85+5208x^87+66x^91+54x^98

The gray image is a linear code over GF(7) with n=98, k=5 and d=73.
This code was found by Heurico 1.16 in 5.18 seconds.