The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  0  1  1  6  1  1 12  1  1 10  1  0  1  1  6  1  6 12  1  1  1  1  1  1  1  1  1  1  1
 0  1  3  6  5  1 12 15  1 10  9  1  0  3  1  6  5  1 12 15  1 10  9  1 10  1  3  5  1  0  1  1  5  0  6 13 15  5  3  3 11 15  5
 0  0  8  0  0  0  0  8  0  8  8  8  0  0  0  8  8  8  0  0  0  8  8  8  0  8  0  0  8  8  0  8  0  8  8  8  0  8  0  8  8  0  0
 0  0  0  8  0  0  8  8  0  8  0  8  0  8  8  8  0  0  0  0  8  0  0  8  0  8  8  8  8  8  0  0  8  8  0  8  8  8  8  8  8  0  8
 0  0  0  0  8  0  8  0  8  8  8  8  0  8  0  0  8  0  8  0  0  8  0  0  0  8  8  8  8  0  8  8  0  8  8  0  0  0  0  0  8  0  8
 0  0  0  0  0  8  0  8  8  8  0  8  8  0  8  0  8  0  8  8  0  8  8  0  0  8  8  0  0  8  8  0  0  8  0  8  0  0  8  8  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+72x^38+200x^39+221x^40+608x^41+480x^42+944x^43+480x^44+608x^45+210x^46+200x^47+63x^48+4x^54+3x^56+2x^62

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 0.214 seconds.