The generator matrix

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

generates a code of length 43 over GR(16,4) who´s minimum homogenous weight is 116.

Homogenous weight enumerator: w(x)=1x^0+339x^116+60x^117+156x^119+1125x^120+312x^121+336x^123+1515x^124+696x^125+936x^127+2610x^128+816x^129+1104x^131+2691x^132+876x^133+540x^135+1518x^136+312x^137+279x^140+66x^144+54x^148+21x^152+18x^156+3x^160

The gray image is a code over GF(4) with n=172, k=7 and d=116.
This code was found by Heurico 1.16 in 6.55 seconds.