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

generates a code of length 55 over GR(16,4) who´s minimum homogenous weight is 158.

Homogenous weight enumerator: w(x)=1x^0+528x^158+528x^159+48x^160+708x^162+396x^163+105x^164+432x^166+216x^167+72x^168+312x^170+168x^171+12x^172+96x^174+168x^175+15x^176+228x^178+60x^179+3x^180

The gray image is a code over GF(4) with n=220, k=6 and d=158.
This code was found by Heurico 1.16 in 0.609 seconds.