The generator matrix

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

generates a code of length 34 over GR(16,4) who´s minimum homogenous weight is 101.

Homogenous weight enumerator: w(x)=1x^0+72x^101+144x^102+6x^104+24x^105+6x^108+3x^120

The gray image is a code over GF(4) with n=136, k=4 and d=101.
This code was found by Heurico 1.16 in -3.24e-008 seconds.