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

generates a code of length 62 over GR(16,4) who´s minimum homogenous weight is 172.

Homogenous weight enumerator: w(x)=1x^0+129x^172+12x^174+183x^176+144x^178+171x^180+648x^182+132x^184+1296x^186+108x^188+972x^190+72x^192+51x^196+42x^200+39x^204+27x^208+24x^212+33x^216+6x^220+3x^224+3x^232

The gray image is a code over GF(4) with n=248, k=6 and d=172.
This code was found by Heurico 1.16 in 0.206 seconds.