The generator matrix

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

generates a code of length 59 over GR(16,4) who´s minimum homogenous weight is 166.

Homogenous weight enumerator: w(x)=1x^0+708x^166+660x^167+207x^168+1632x^170+1128x^171+246x^172+1956x^174+1452x^175+105x^176+1944x^178+1200x^179+195x^180+1404x^182+972x^183+129x^184+1152x^186+552x^187+75x^188+348x^190+180x^191+54x^192+72x^194+9x^196+3x^204

The gray image is a code over GF(4) with n=236, k=7 and d=166.
This code was found by Heurico 1.16 in 3.06 seconds.