The generator matrix

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

generates a code of length 25 over GR(16,4) who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+69x^56+36x^58+252x^60+216x^62+48x^63+798x^64+636x^66+1344x^67+2619x^68+1872x^70+4896x^71+7074x^72+3996x^74+10560x^75+10413x^76+4056x^78+7728x^79+6504x^80+1476x^82+549x^84+285x^88+87x^92+21x^96

The gray image is a code over GF(4) with n=100, k=8 and d=56.
This code was found by Heurico 1.16 in 6.11 seconds.