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

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

Homogenous weight enumerator: w(x)=1x^0+312x^165+720x^166+756x^167+978x^168+1332x^169+2220x^170+1584x^171+1902x^172+2484x^173+3444x^174+2220x^175+2352x^176+3216x^177+4020x^178+2784x^179+2577x^180+3648x^181+4548x^182+3084x^183+2724x^184+3396x^185+3948x^186+2256x^187+2052x^188+1764x^189+2100x^190+1044x^191+603x^192+696x^193+468x^194+96x^195+117x^196+48x^197+36x^198+6x^200

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 18.2 seconds.