The generator matrix

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

generates a code of length 40 over GR(16,4) who´s minimum homogenous weight is 107.

Homogenous weight enumerator: w(x)=1x^0+528x^107+1071x^108+972x^109+156x^110+2028x^111+2943x^112+1992x^113+456x^114+3612x^115+5106x^116+3060x^117+828x^118+5184x^119+6495x^120+4608x^121+996x^122+6192x^123+6270x^124+3396x^125+600x^126+3444x^127+3192x^128+1272x^129+36x^130+516x^131+510x^132+60x^133+9x^136+3x^140

The gray image is a code over GF(4) with n=160, k=8 and d=107.
This code was found by Heurico 1.16 in 21.1 seconds.