The generator matrix

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

generates a code of length 24 over GR(16,4) who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+42x^64+96x^68+192x^69+36x^72+576x^73+27x^76+27x^80+6x^84+6x^88+15x^92

The gray image is a code over GF(4) with n=96, k=5 and d=64.
This code was found by Heurico 1.16 in 0 seconds.