The generator matrix

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

generates a code of length 24 over GR(16,4) who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+756x^63+327x^64+2244x^67+876x^68+3708x^71+1572x^72+4332x^75+1140x^76+1248x^79+132x^80+48x^84

The gray image is a code over GF(4) with n=96, k=7 and d=63.
This code was found by Heurico 1.16 in 0.747 seconds.