The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+160x^38+76x^39+422x^40+384x^41+734x^42+624x^43+731x^44+376x^45+340x^46+68x^47+107x^48+8x^49+38x^50+13x^52+8x^54+5x^56+1x^64

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 1.74 seconds.