The generator matrix

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

generates a code of length 56 over GR(16,4) who´s minimum homogenous weight is 153.

Homogenous weight enumerator: w(x)=1x^0+312x^153+348x^154+732x^155+975x^156+1536x^157+1368x^158+2028x^159+2007x^160+3156x^161+2064x^162+2664x^163+2676x^164+3516x^165+2784x^166+3876x^167+3285x^168+4464x^169+3240x^170+3552x^171+3129x^172+3972x^173+2724x^174+2664x^175+1914x^176+2400x^177+1116x^178+1260x^179+750x^180+528x^181+180x^182+120x^183+105x^184+84x^185+6x^188

The gray image is a code over GF(4) with n=224, k=8 and d=153.
This code was found by Heurico 1.16 in 15.2 seconds.