The generator matrix

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

generates a code of length 25 over GR(16,4) who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+216x^65+372x^66+144x^67+264x^68+1104x^69+1128x^70+432x^71+453x^72+1872x^73+1440x^74+1008x^75+618x^76+2448x^77+1656x^78+720x^79+405x^80+1272x^81+780x^82+24x^84+15x^88+6x^92+6x^96

The gray image is a code over GF(4) with n=100, k=7 and d=65.
This code was found by Heurico 1.16 in 6.69 seconds.