The generator matrix

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

generates a code of length 14 over Z7[X]/(X^2) who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+798x^72+3024x^73+144x^77+588x^78+9576x^79+15120x^80+24810x^84+3528x^85+28728x^86+31248x^87+12x^91+72x^98

The gray image is a linear code over GF(7) with n=98, k=6 and d=72.
This code was found by Heurico 1.16 in 0.557 seconds.