The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+264x^37+324x^38+96x^39+1185x^40+2064x^41+1608x^42+864x^43+3534x^44+5856x^45+4176x^46+2592x^47+10440x^48+11760x^49+6264x^50+2592x^51+5784x^52+4632x^53+1452x^54+21x^56+18x^60+9x^64

The gray image is a code over GF(4) with n=64, k=8 and d=37.
This code was found by Heurico 1.16 in 2.7 seconds.