The generator matrix

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

generates a code of length 61 over GR(16,4) who´s minimum homogenous weight is 168.

Homogenous weight enumerator: w(x)=1x^0+402x^168+696x^169+516x^170+504x^171+1932x^172+2532x^173+1572x^174+1020x^175+3447x^176+3636x^177+2136x^178+1476x^179+4086x^180+4392x^181+2568x^182+1596x^183+4881x^184+4704x^185+2376x^186+1596x^187+3897x^188+4176x^189+2028x^190+1056x^191+2868x^192+2400x^193+912x^194+408x^195+900x^196+468x^197+168x^198+24x^199+105x^200+36x^201+12x^202+9x^204

The gray image is a code over GF(4) with n=244, k=8 and d=168.
This code was found by Heurico 1.16 in 16.7 seconds.