The generator matrix

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

generates a code of length 25 over GR(16,4) who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+72x^73+36x^74+48x^75+9x^76+72x^77+12x^78+3x^84+3x^88

The gray image is a code over GF(4) with n=100, k=4 and d=73.
This code was found by Heurico 1.16 in 0.063 seconds.