The generator matrix

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

generates a code of length 43 over GR(16,4) who´s minimum homogenous weight is 115.

Homogenous weight enumerator: w(x)=1x^0+348x^115+381x^116+480x^117+888x^118+2172x^119+1668x^120+1428x^121+1608x^122+3780x^123+2655x^124+2460x^125+2592x^126+5376x^127+3957x^128+3048x^129+3120x^130+6132x^131+4707x^132+3192x^133+2904x^134+5100x^135+2526x^136+1476x^137+1032x^138+1548x^139+465x^140+204x^141+144x^142+120x^143+18x^144+6x^152

The gray image is a code over GF(4) with n=172, k=8 and d=115.
This code was found by Heurico 1.16 in 10.4 seconds.