The generator matrix

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

generates a code of length 43 over GR(16,4) who´s minimum homogenous weight is 119.

Homogenous weight enumerator: w(x)=1x^0+864x^119+483x^120+2316x^123+954x^124+3072x^127+939x^128+2808x^131+792x^132+2304x^135+642x^136+924x^139+264x^140+12x^144+3x^152+6x^156

The gray image is a code over GF(4) with n=172, k=7 and d=119.
This code was found by Heurico 1.16 in 40 seconds.