The generator matrix

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

generates a code of length 60 over GR(16,4) who´s minimum homogenous weight is 168.

Homogenous weight enumerator: w(x)=1x^0+342x^168+228x^169+492x^171+1716x^172+588x^173+564x^175+2286x^176+660x^177+732x^179+2184x^180+648x^181+612x^183+1596x^184+432x^185+384x^187+1326x^188+288x^189+216x^191+636x^192+168x^193+72x^195+147x^196+60x^197+3x^208+3x^212

The gray image is a code over GF(4) with n=240, k=7 and d=168.
This code was found by Heurico 1.16 in 0.984 seconds.