The generator matrix

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

generates a code of length 17 over GR(16,4) who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+72x^37+336x^38+216x^39+1164x^40+1584x^41+2148x^42+2592x^43+5136x^44+6000x^45+10224x^46+11664x^47+18543x^48+20160x^49+25656x^50+29472x^51+32685x^52+27144x^53+26016x^54+17496x^55+13962x^56+6480x^57+3204x^58+138x^60+42x^64+9x^68

The gray image is a code over GF(4) with n=68, k=9 and d=37.
This code was found by Heurico 1.16 in 41.6 seconds.