The generator matrix

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

generates a code of length 24 over GR(16,4) who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+288x^57+288x^58+504x^59+750x^60+2232x^61+1776x^62+3756x^63+3720x^64+8160x^65+6768x^66+10320x^67+11931x^68+19488x^69+16848x^70+23256x^71+23268x^72+28368x^73+20400x^74+23256x^75+18000x^76+18984x^77+9216x^78+6492x^79+1593x^80+2352x^81+75x^84+42x^88+12x^92

The gray image is a code over GF(4) with n=96, k=9 and d=57.
This code was found by Heurico 1.16 in 69.6 seconds.