The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  8  1  1  2  1  1  1  1  1  4  4  1  1  1  2  0 12  1  1  2  2
 0  2  0  6  4 14 12  2  0  6 12 10  8  2 12  6  6  0 12 10 10 14  2 10  4 14  8  6  0  0 12  2  0 10  0 14  6  2  2  8  4 12  4
 0  0 12  0  4  4  8  4  0  8  0  8  4  4 12  4  8  8  0  0  0 12  4  4 12  4  4  4  0  0  8 12 12  8 12  0  8  8  0  8  8  4 12
 0  0  0  8  0  0  8  0  0  8  0  0  8  0  8  0  8  8  8  0  8  8  0  8  0  0  8  8  0  8  0  8  8  0  0  0  0  8  0  8  0  8  0
 0  0  0  0  8  0  0  8  8  8  0  8  0  0  8  8  8  8  8  8  0  8  0  8  0  8  0  0  8  0  0  0  0  0  8  8  8  8  0  0  8  8  0
 0  0  0  0  0  8  0  8  0  0  8  8  8  0  8  0  8  8  0  0  8  0  8  8  8  8  0  0  8  8  0  8  0  8  0  0  8  8  0  0  0  8  8

generates a code of length 43 over Z16 who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+203x^38+469x^40+320x^41+652x^42+896x^43+641x^44+320x^45+378x^46+126x^48+68x^50+10x^52+11x^54+1x^68

The gray image is a code over GF(2) with n=344, k=12 and d=152.
This code was found by Heurico 1.16 in 5.71 seconds.