The generator matrix

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

generates a code of length 67 over GR(16,4) who´s minimum homogenous weight is 184.

Homogenous weight enumerator: w(x)=1x^0+51x^184+252x^187+297x^188+1320x^191+588x^192+1776x^195+543x^196+2460x^199+855x^200+2892x^203+660x^204+2448x^207+627x^208+1032x^211+267x^212+108x^215+75x^216+48x^220+12x^224+45x^228+9x^232+9x^236+6x^240+3x^244

The gray image is a code over GF(4) with n=268, k=7 and d=184.
This code was found by Heurico 1.16 in 1.49 seconds.