The generator matrix

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

generates a code of length 33 over GR(16,4) who´s minimum homogenous weight is 83.

Homogenous weight enumerator: w(x)=1x^0+312x^83+585x^84+468x^85+1356x^86+1968x^87+2679x^88+2580x^89+5112x^90+7116x^91+7818x^92+6108x^93+11724x^94+15636x^95+13878x^96+10872x^97+22416x^98+25488x^99+21354x^100+13116x^101+22500x^102+22008x^103+15183x^104+8532x^105+9912x^106+7020x^107+3894x^108+1332x^109+708x^110+324x^111+75x^112+33x^116+18x^120+12x^124+6x^128

The gray image is a code over GF(4) with n=132, k=9 and d=83.
This code was found by Heurico 1.16 in 107 seconds.