The generator matrix

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

generates a code of length 55 over GR(16,4) who´s minimum homogenous weight is 151.

Homogenous weight enumerator: w(x)=1x^0+96x^151+420x^152+72x^153+324x^155+1203x^156+324x^157+396x^159+1749x^160+624x^161+660x^163+1986x^164+840x^165+696x^167+2724x^168+936x^169+588x^171+1605x^172+276x^173+252x^175+393x^176+60x^179+51x^180+27x^184+36x^188+21x^192+15x^196+9x^200

The gray image is a code over GF(4) with n=220, k=7 and d=151.
This code was found by Heurico 1.16 in 32.4 seconds.