The generator matrix

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

generates a code of length 33 over GR(16,4) who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+135x^84+60x^85+60x^86+324x^87+1725x^88+672x^89+396x^90+1260x^91+4020x^92+1440x^93+1080x^94+2376x^95+7710x^96+3552x^97+1848x^98+3576x^99+10992x^100+4188x^101+1932x^102+3636x^103+7962x^104+2208x^105+828x^106+1116x^107+2115x^108+168x^109+75x^112+51x^116+15x^120+15x^124

The gray image is a code over GF(4) with n=132, k=8 and d=84.
This code was found by Heurico 1.16 in 8.23 seconds.