The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+129x^172+336x^173+204x^174+384x^175+351x^176+444x^177+132x^178+252x^179+408x^180+192x^181+96x^182+180x^183+153x^184+72x^185+72x^186+36x^187+90x^188+204x^189+36x^190+60x^191+27x^192+84x^193+36x^194+48x^195+51x^196+12x^197+6x^204

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 0.078 seconds.