The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  2  1  2  1  2  1  1  1  1  4  1  1  4  1  1  1  8  1  1  1  2  1  4  1  2  1
 0 12  0  0  0  0  0  0  0  4 12 12  4  8 12  8  4 12  8  8 12 12  4  8 12  4  0 12  0  8 12  4  8  4  8  0  4  0  4  0  4  0  8  0 12 12  8
 0  0 12  0  0  8 12 12  4  4  4  8  4  4 12  4  0  0  8  4  4 12  4  4  8  0  8  8  8  4  0  4  0  8  8  8 12  4  4  8  4  0  4  4 12  8  0
 0  0  0 12  0 12 12  4  8  0  0  0  4 12  4  4 12  4  8 12  0  8  0  8  8  8 12 12  4  0 12  4  8 12  4  8  4 12 12  0 12 12  4  4  8  4  8
 0  0  0  0 12  4  8  4  4  0  4  4  4  8  0 12  0  4 12 12  8  4  4  0  4  4 12 12  0  8 12 12 12  8  4  0  8  8  4  4  0  8  8  0  0 12 12

generates a code of length 47 over Z16 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+47x^40+70x^41+93x^42+148x^43+217x^44+444x^45+688x^46+790x^47+656x^48+398x^49+221x^50+116x^51+53x^52+32x^53+47x^54+30x^55+16x^56+16x^57+5x^58+4x^59+2x^60+1x^62+1x^74

The gray image is a code over GF(2) with n=376, k=12 and d=160.
This code was found by Heurico 1.16 in 0.34 seconds.