The generator matrix

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

generates a code of length 35 over GR(16,4) who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+60x^84+264x^88+396x^92+192x^94+474x^96+1152x^98+465x^100+3072x^102+501x^104+4992x^106+492x^108+2880x^110+495x^112+492x^116+291x^120+108x^124+54x^128+3x^132

The gray image is a code over GF(4) with n=140, k=7 and d=84.
This code was found by Heurico 1.16 in 1.31 seconds.