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

generates a code of length 59 over GR(16,4) who´s minimum homogenous weight is 156.

Homogenous weight enumerator: w(x)=1x^0+198x^156+369x^160+408x^164+48x^165+432x^168+576x^169+423x^172+2592x^173+438x^176+5184x^177+396x^180+3888x^181+372x^184+279x^188+291x^192+222x^196+153x^200+69x^204+21x^208+18x^212+3x^216+3x^220

The gray image is a code over GF(4) with n=236, k=7 and d=156.
This code was found by Heurico 1.16 in 2.63 seconds.