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

generates a code of length 60 over GR(16,4) who´s minimum homogenous weight is 172.

Homogenous weight enumerator: w(x)=1x^0+261x^172+168x^173+396x^175+1050x^176+192x^177+180x^179+426x^180+144x^181+333x^184+192x^185+216x^188+72x^189+180x^191+258x^192+12x^195+6x^196+3x^200+3x^204+3x^208

The gray image is a code over GF(4) with n=240, k=6 and d=172.
This code was found by Heurico 1.16 in 0.106 seconds.