The generator matrix

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

generates a code of length 62 over GR(16,4) who´s minimum homogenous weight is 179.

Homogenous weight enumerator: w(x)=1x^0+720x^179+288x^180+1032x^183+288x^184+504x^187+216x^188+276x^191+111x^192+276x^195+72x^196+180x^199+48x^200+84x^203

The gray image is a code over GF(4) with n=248, k=6 and d=179.
This code was found by Heurico 1.16 in 0.875 seconds.