The generator matrix

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

generates a code of length 56 over GR(16,4) who´s minimum homogenous weight is 152.

Homogenous weight enumerator: w(x)=1x^0+72x^152+72x^154+228x^155+123x^156+792x^158+816x^159+201x^160+1380x^162+876x^163+144x^164+2064x^166+1296x^167+111x^168+2448x^170+1500x^171+93x^172+2040x^174+1104x^175+60x^176+420x^178+276x^179+63x^180+48x^183+54x^184+42x^188+30x^192+9x^196+15x^200+6x^204

The gray image is a code over GF(4) with n=224, k=7 and d=152.
This code was found by Heurico 1.16 in 1.25 seconds.