The generator matrix

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

generates a code of length 43 over GR(16,4) who´s minimum homogenous weight is 114.

Homogenous weight enumerator: w(x)=1x^0+360x^114+264x^115+327x^116+372x^117+1800x^118+876x^119+1116x^120+1176x^121+3924x^122+1908x^123+1695x^124+2280x^125+6564x^126+2676x^127+2271x^128+3888x^129+7920x^130+3456x^131+2853x^132+3396x^133+7056x^134+2244x^135+1590x^136+1176x^137+2772x^138+804x^139+258x^140+324x^142+60x^143+42x^144+33x^148+30x^152+15x^156+6x^160+3x^164

The gray image is a code over GF(4) with n=172, k=8 and d=114.
This code was found by Heurico 1.16 in 12.2 seconds.