The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+93x^40+8x^41+155x^42+32x^43+202x^44+120x^45+860x^46+1216x^47+823x^48+120x^49+176x^50+32x^51+138x^52+8x^53+82x^54+19x^56+5x^58+3x^60+2x^62+1x^76

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 0.364 seconds.