The generator matrix

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

generates a code of length 14 over GR(16,4) who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+72x^37+216x^38+33x^40+144x^41+144x^42+24x^44+168x^45+216x^46+3x^48+3x^56

The gray image is a code over GF(4) with n=56, k=5 and d=37.
This code was found by Heurico 1.16 in 3.24e-008 seconds.