The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  1  1  2
 0  1 2a^2+3  a 3a^2+2 2a^2+3a+1 a^2+3a  2 2a^2+2a+3 a+2 3a^2+2a+2 2a^2+3a+3 a^2+a  1

generates a code of length 14 over GR(64,4) who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+784x^92+49x^96+896x^98+2352x^100+14x^112

The gray image is a code over GF(8) with n=112, k=4 and d=92.
This code was found by Heurico 1.16 in 0.00537 seconds.