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

generates a code of length 59 over GR(16,4) who´s minimum homogenous weight is 164.

Homogenous weight enumerator: w(x)=1x^0+162x^164+219x^168+192x^171+126x^172+1152x^175+114x^176+1728x^179+111x^180+90x^184+54x^188+33x^192+36x^196+30x^200+18x^204+6x^208+18x^212+3x^216+3x^228

The gray image is a code over GF(4) with n=236, k=6 and d=164.
This code was found by Heurico 1.16 in 2.02 seconds.