The generator matrix

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

generates a code of length 11 over Z7[X]/(X^2) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+210x^60+252x^61+18x^63+1260x^67+630x^68+30x^70

The gray image is a linear code over GF(7) with n=77, k=4 and d=60.
This code was found by Heurico 1.16 in 0.00052 seconds.