The generator matrix

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

generates a code of length 24 over GR(16,4) who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+219x^56+48x^57+453x^60+720x^61+999x^64+4320x^65+3156x^68+12960x^69+5889x^72+19440x^73+4584x^76+11664x^77+597x^80+336x^84+132x^88+15x^92+3x^96

The gray image is a code over GF(4) with n=96, k=8 and d=56.
This code was found by Heurico 1.16 in 36.4 seconds.