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  1
 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  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
 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 2a+2  0

generates a code of length 35 over GR(16,4) who´s minimum homogenous weight is 96.

Homogenous weight enumerator: w(x)=1x^0+24x^96+48x^99+78x^100+288x^103+66x^104+432x^107+42x^108+21x^112+9x^116+15x^132

The gray image is a code over GF(4) with n=140, k=5 and d=96.
This code was found by Heurico 1.16 in 3.24e-008 seconds.