The generator matrix

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

generates a code of length 54 over GR(16,4) who´s minimum homogenous weight is 148.

Homogenous weight enumerator: w(x)=1x^0+600x^148+984x^149+1296x^150+2019x^152+2880x^153+2100x^154+3576x^156+4344x^157+3660x^158+4725x^160+4932x^161+3972x^162+5016x^164+5640x^165+3960x^166+4362x^168+4008x^169+2604x^170+1944x^172+1608x^173+780x^174+282x^176+180x^177+60x^178+3x^184

The gray image is a code over GF(4) with n=216, k=8 and d=148.
This code was found by Heurico 1.16 in 257 seconds.