The generator matrix

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

generates a code of length 69 over GR(16,4) who´s minimum homogenous weight is 184.

Homogenous weight enumerator: w(x)=1x^0+102x^184+324x^188+408x^192+144x^194+498x^196+816x^198+384x^200+2016x^202+411x^204+3744x^206+327x^208+3984x^210+348x^212+1584x^214+330x^216+270x^220+261x^224+138x^228+138x^232+99x^236+27x^240+24x^244+6x^248

The gray image is a code over GF(4) with n=276, k=7 and d=184.
This code was found by Heurico 1.16 in 3.16 seconds.