The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+528x^63+519x^64+312x^65+144x^66+1332x^67+1023x^68+504x^69+864x^70+1908x^71+1584x^72+936x^73+1296x^74+2172x^75+1440x^76+552x^77+972x^79+276x^80+3x^84+12x^88+6x^92

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 0.531 seconds.