The generator matrix

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

generates a code of length 47 over Z16 who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+126x^42+166x^43+391x^44+404x^45+576x^46+958x^47+481x^48+364x^49+295x^50+114x^51+111x^52+28x^53+58x^54+10x^55+8x^56+4x^57+1x^74

The gray image is a code over GF(2) with n=376, k=12 and d=168.
This code was found by Heurico 1.16 in 0.324 seconds.