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

generates a code of length 47 over GR(16,4) who´s minimum homogenous weight is 128.

Homogenous weight enumerator: w(x)=1x^0+144x^128+174x^132+192x^135+177x^136+1152x^139+150x^140+1728x^143+90x^144+69x^148+72x^152+48x^156+33x^160+30x^164+27x^168+6x^172+3x^180

The gray image is a code over GF(4) with n=188, k=6 and d=128.
This code was found by Heurico 1.16 in 0.14 seconds.