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

generates a code of length 36 over GR(16,4) who´s minimum homogenous weight is 100.

Homogenous weight enumerator: w(x)=1x^0+69x^100+264x^104+372x^108+282x^112+12x^116+9x^120+3x^128+3x^132+9x^136

The gray image is a code over GF(4) with n=144, k=5 and d=100.
This code was found by Heurico 1.16 in 1.01e-007 seconds.