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

generates a code of length 55 over GR(16,4) who´s minimum homogenous weight is 146.

Homogenous weight enumerator: w(x)=1x^0+252x^146+588x^147+243x^148+1104x^149+2340x^150+2976x^151+1308x^152+2904x^153+5568x^154+6768x^155+2472x^156+6528x^157+10812x^158+12132x^159+4455x^160+11016x^161+16692x^162+18144x^163+7044x^164+15084x^165+20916x^166+20760x^167+6888x^168+14568x^169+17688x^170+16224x^171+4725x^172+8184x^173+8916x^174+6996x^175+1224x^176+1944x^177+2712x^178+1380x^179+219x^180+108x^181+120x^182+48x^183+24x^184+21x^188+27x^192+12x^196+6x^200+3x^208

The gray image is a code over GF(4) with n=220, k=9 and d=146.
This code was found by Heurico 1.16 in 210 seconds.