The generator matrix

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

generates a code of length 59 over GR(16,4) who´s minimum homogenous weight is 169.

Homogenous weight enumerator: w(x)=1x^0+264x^169+252x^170+240x^171+189x^172+600x^173+420x^174+96x^175+90x^176+300x^177+372x^178+96x^179+66x^180+216x^181+120x^182+24x^183+57x^184+180x^185+72x^186+96x^187+18x^188+120x^189+108x^190+24x^191+24x^192+48x^193+3x^196

The gray image is a code over GF(4) with n=236, k=6 and d=169.
This code was found by Heurico 1.16 in 0.078 seconds.