The generator matrix

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

generates a code of length 55 over GR(16,4) who´s minimum homogenous weight is 154.

Homogenous weight enumerator: w(x)=1x^0+492x^154+612x^155+246x^156+1776x^158+1188x^159+108x^160+1992x^162+1500x^163+246x^164+2052x^166+1092x^167+174x^168+1488x^170+1032x^171+90x^172+1020x^174+552x^175+108x^176+396x^178+168x^179+42x^180+6x^184+3x^192

The gray image is a code over GF(4) with n=220, k=7 and d=154.
This code was found by Heurico 1.16 in 0.973 seconds.