The generator matrix

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

generates a code of length 60 over GR(16,4) who´s minimum homogenous weight is 165.

Homogenous weight enumerator: w(x)=1x^0+564x^165+588x^166+528x^167+708x^168+1896x^169+1896x^170+1656x^171+1257x^172+3792x^173+3000x^174+1896x^175+1911x^176+4536x^177+3444x^178+2604x^179+2190x^180+5040x^181+4020x^182+2376x^183+2229x^184+4824x^185+3132x^186+2328x^187+1512x^188+2784x^189+1932x^190+768x^191+396x^192+1032x^193+408x^194+132x^195+30x^196+108x^197+12x^198+3x^200+3x^204

The gray image is a code over GF(4) with n=240, k=8 and d=165.
This code was found by Heurico 1.16 in 17 seconds.