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

generates a code of length 55 over GR(16,4) who´s minimum homogenous weight is 150.

Homogenous weight enumerator: w(x)=1x^0+348x^150+384x^151+540x^152+840x^153+1728x^154+1860x^155+1476x^156+1680x^157+3240x^158+2772x^159+1989x^160+2052x^161+4560x^162+3948x^163+2337x^164+2820x^165+5124x^166+4188x^167+2385x^168+2556x^169+4764x^170+3360x^171+2109x^172+1716x^173+2796x^174+1728x^175+828x^176+552x^177+420x^178+192x^179+99x^180+72x^181+60x^182+9x^184+3x^188

The gray image is a code over GF(4) with n=220, k=8 and d=150.
This code was found by Heurico 1.16 in 14.8 seconds.