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

generates a code of length 60 over GR(16,4) who´s minimum homogenous weight is 176.

Homogenous weight enumerator: w(x)=1x^0+69x^176+900x^180+36x^184+12x^188+3x^192+3x^240

The gray image is a code over GF(4) with n=240, k=5 and d=176.
This code was found by Heurico 1.16 in 0.047 seconds.