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

generates a code of length 58 over GR(16,4) who´s minimum homogenous weight is 166.

Homogenous weight enumerator: w(x)=1x^0+216x^166+192x^167+480x^168+120x^169+444x^170+396x^171+282x^172+144x^173+108x^174+288x^175+306x^176+72x^177+96x^178+144x^179+162x^180+24x^181+144x^182+48x^183+114x^184+84x^186+84x^187+60x^188+24x^189+60x^190+3x^192

The gray image is a code over GF(4) with n=232, k=6 and d=166.
This code was found by Heurico 1.16 in 0.094 seconds.