The generator matrix

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

generates a code of length 39 over GR(16,4) who´s minimum homogenous weight is 100.

Homogenous weight enumerator: w(x)=1x^0+324x^100+744x^101+264x^102+756x^103+2670x^104+2820x^105+1788x^106+2916x^107+7560x^108+7128x^109+4896x^110+7308x^111+15891x^112+14112x^113+9792x^114+11976x^115+25131x^116+20568x^117+13800x^118+14508x^119+27882x^120+18180x^121+9756x^122+9588x^123+14103x^124+8904x^125+2640x^126+2100x^127+2583x^128+1272x^129+72x^130+42x^132+39x^136+15x^140+3x^144+9x^148+3x^152

The gray image is a code over GF(4) with n=156, k=9 and d=100.
This code was found by Heurico 1.16 in 135 seconds.