The generator matrix

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

generates a code of length 14 over GR(16,4) who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+96x^33+528x^34+114x^36+864x^37+1584x^38+387x^40+2592x^41+4464x^42+468x^44+2592x^45+2640x^46+3x^48+42x^52+9x^56

The gray image is a code over GF(4) with n=56, k=7 and d=33.
This code was found by Heurico 1.16 in 0.141 seconds.