The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  2  0  0  0  2  2  2 2a  0  2 2a 2a 2a
 0  0  2  0  0 2a^2+2 2a^2+2a+2 2a^2+2a 2a^2+2a  2 2a+2 2a^2+2  0  2
 0  0  0  2  0  2 2a^2+2a+2 2a 2a+2 2a^2 2a^2+2  0 2a^2+2a+2  2
 0  0  0  0  2 2a^2+2 2a+2 2a 2a^2+2a+2 2a 2a^2 2a^2 2a+2  0

generates a code of length 14 over GR(64,4) who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+924x^72+2387x^80+4144x^88+10507x^96+229376x^98+9716x^104+5089x^112

The gray image is a code over GF(8) with n=112, k=6 and d=72.
This code was found by Heurico 1.16 in 4.96 seconds.