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

generates a code of length 59 over GR(16,4) who´s minimum homogenous weight is 168.

Homogenous weight enumerator: w(x)=1x^0+153x^168+168x^170+504x^171+498x^172+288x^174+456x^175+510x^176+108x^178+144x^179+162x^180+12x^182+192x^183+315x^184+156x^186+216x^187+126x^188+36x^190+24x^191+15x^192+6x^196+6x^200

The gray image is a code over GF(4) with n=236, k=6 and d=168.
This code was found by Heurico 1.16 in 0.104 seconds.