The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+105x^148+204x^152+345x^156+1311x^160+1821x^164+78x^168+48x^172+45x^176+51x^180+42x^184+27x^188+12x^192+3x^196+3x^208

The gray image is a code over GF(4) with n=216, k=6 and d=148.
This code was found by Heurico 1.16 in 0.168 seconds.