The generator matrix

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

generates a code of length 56 over GR(16,4) who´s minimum homogenous weight is 149.

Homogenous weight enumerator: w(x)=1x^0+360x^149+552x^150+564x^151+1065x^152+1884x^153+2520x^154+1920x^155+3447x^156+4908x^157+6384x^158+4692x^159+6087x^160+9384x^161+11352x^162+7896x^163+10680x^164+13908x^165+17028x^166+11016x^167+14178x^168+17496x^169+19488x^170+12048x^171+13716x^172+15492x^173+14760x^174+7956x^175+7440x^176+8184x^177+6408x^178+2616x^179+2442x^180+2004x^181+1308x^182+444x^183+237x^184+108x^185+72x^186+27x^188+36x^192+18x^196+12x^200+6x^204

The gray image is a code over GF(4) with n=224, k=9 and d=149.
This code was found by Heurico 1.16 in 214 seconds.