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

generates a code of length 65 over GR(16,4) who´s minimum homogenous weight is 172.

Homogenous weight enumerator: w(x)=1x^0+102x^172+294x^176+417x^180+447x^184+405x^188+3507x^192+9591x^196+351x^200+312x^204+276x^208+258x^212+195x^216+114x^220+75x^224+30x^228+3x^232+3x^236+3x^256

The gray image is a code over GF(4) with n=260, k=7 and d=172.
This code was found by Heurico 1.16 in 2.93 seconds.