The generator matrix

 1  0  1  1  1  1  1  1  1  0  1  1  1  1  0  1  1  1  1  2  1  1  1  1  2  1  1  2  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 2a+2  1  1  1  1
 0  1  1  a a+1  0 2a+3  a a+1  1  0  a 2a+3 a+1  1  2 2a+3 a+2 a+3  1  2  1 a+2 a+3  1  2 2a+1  1 a+2 3a+3 2a+3 2a+1  3  0  a 2a+2 a+3 2a 3a 3a 2a+3 3a 3a a+2 3a  1 3a+2 2a+1 2a+1 2a+1  a  1 a+2 3a+3  1  1  1 3a+3 2a+1  3  a
 0  0 2a+2  0  2  0  2 2a 2a 2a 2a  2 2a+2 2a+2  0 2a+2  0 2a+2  0  2  2 2a 2a  2 2a+2 2a  2 2a 2a+2 2a  0 2a+2 2a+2 2a 2a  0 2a  2 2a+2 2a+2  2  0  2  0  2 2a  0  2 2a 2a  2  0 2a 2a+2 2a  2  2 2a+2 2a+2 2a  2
 0  0  0  2 2a 2a  0 2a  2  2  0  2 2a  2  2  0  0  2  2  2  0  0  2  2  2 2a 2a  0 2a 2a 2a 2a+2  2  2  0 2a+2 2a+2 2a+2 2a+2  0  2  0 2a+2 2a+2 2a 2a+2 2a 2a+2  2 2a  0  2 2a+2 2a 2a+2  0 2a+2  0 2a  0  2

generates a code of length 61 over GR(16,4) who´s minimum homogenous weight is 176.

Homogenous weight enumerator: w(x)=1x^0+1014x^176+1164x^180+690x^184+564x^188+393x^192+240x^196+18x^200+12x^208

The gray image is a code over GF(4) with n=244, k=6 and d=176.
This code was found by Heurico 1.16 in 1.07 seconds.