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

generates a code of length 24 over GR(16,4) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+108x^60+189x^64+162x^68+3222x^72+147x^76+129x^80+96x^84+24x^88+15x^92+3x^96

The gray image is a code over GF(4) with n=96, k=6 and d=60.
This code was found by Heurico 1.16 in 0.0555 seconds.