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

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

Homogenous weight enumerator: w(x)=1x^0+187x^42+204x^43+294x^44+424x^45+736x^46+520x^47+616x^48+480x^49+316x^50+140x^51+86x^52+24x^53+32x^54+23x^56+5x^58+3x^60+4x^62+1x^68

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 0.379 seconds.