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

generates a code of length 62 over GR(16,4) who´s minimum homogenous weight is 164.

Homogenous weight enumerator: w(x)=1x^0+129x^164+390x^168+447x^172+873x^176+1983x^180+4101x^184+4680x^188+2538x^192+387x^196+273x^200+225x^204+198x^208+105x^212+36x^216+12x^220+6x^224

The gray image is a code over GF(4) with n=248, k=7 and d=164.
This code was found by Heurico 1.16 in 2.78 seconds.