The generator matrix

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

generates a code of length 58 over GR(16,4) who´s minimum homogenous weight is 173.

Homogenous weight enumerator: w(x)=1x^0+72x^173+144x^174+24x^177+9x^184+6x^188

The gray image is a code over GF(4) with n=232, k=4 and d=173.
This code was found by Heurico 1.16 in 0.031 seconds.