The generator matrix

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

generates a code of length 13 over Z7[X]/(X^2) who´s minimum homogenous weight is 67.

Homogenous weight enumerator: w(x)=1x^0+378x^67+132x^70+1176x^72+1890x^74+72x^77+2058x^78+7056x^79+3906x^81+84x^84+54x^91

The gray image is a linear code over GF(7) with n=91, k=5 and d=67.
This code was found by Heurico 1.16 in 0.0195 seconds.