The generator matrix

 1  0  0  1  1  1  1  1  1  1  1  1 2a+2  1  1  2  0  1  1  1  1  1  1 2a+2  1  2  2  1  1  1  1  1  0 2a  0
 0  1  0  0  2 2a+2  1 3a+2 a+1 2a+3  a 3a+1  1 2a+3  3  1  1 3a+2  a a+3 3a+3  3 2a+2  1 2a+1 2a+2  1 3a+2 3a+3 3a 3a+1 2a  0  0 2a
 0  0  1  1 3a+2 3a+3 3a+1  3 2a  0 2a  a 3a+3  a 2a+1  1 a+2 3a a+1 a+3  1 a+1 3a 2a+2 3a+2  1 a+1  3 3a 3a+2 3a+2  0  1  1  1
 0  0  0 2a+2  0 2a 2a 2a+2  0 2a 2a+2  0  0 2a+2 2a+2 2a 2a 2a  0 2a  0  2 2a+2 2a+2 2a 2a+2 2a+2  2 2a+2  0 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+1452x^96+3504x^100+4200x^104+4272x^108+2640x^112+288x^116+24x^120+3x^128

The gray image is a code over GF(4) with n=140, k=7 and d=96.
This code was found by Heurico 1.16 in 85.9 seconds.