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

generates a code of length 61 over GR(16,4) who´s minimum homogenous weight is 160.

Homogenous weight enumerator: w(x)=1x^0+90x^160+300x^164+426x^168+48x^171+441x^172+576x^175+378x^176+2592x^179+405x^180+5184x^183+366x^184+3888x^187+375x^188+345x^192+327x^196+282x^200+189x^204+90x^208+69x^212+6x^216+3x^220+3x^228

The gray image is a code over GF(4) with n=244, k=7 and d=160.
This code was found by Heurico 1.16 in 2.71 seconds.