The generator matrix

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

generates a code of length 40 over GR(16,4) who´s minimum homogenous weight is 109.

Homogenous weight enumerator: w(x)=1x^0+192x^109+360x^110+408x^111+300x^112+804x^113+1092x^114+768x^115+441x^116+1392x^117+1224x^118+1020x^119+411x^120+1176x^121+1296x^122+876x^123+324x^124+1392x^125+1008x^126+636x^127+228x^128+420x^129+396x^130+132x^131+69x^132+9x^136+6x^140+3x^144

The gray image is a code over GF(4) with n=160, k=7 and d=109.
This code was found by Heurico 1.16 in 9.66 seconds.