The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+46x^38+232x^39+303x^40+596x^41+548x^42+884x^43+445x^44+504x^45+206x^46+114x^47+80x^48+84x^49+31x^50+16x^51+3x^52+2x^55+1x^66

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 0.227 seconds.