The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+129x^40+16x^41+64x^42+64x^43+225x^44+752x^45+88x^46+1408x^47+169x^48+752x^49+80x^50+64x^51+202x^52+16x^53+24x^54+32x^56+5x^60+4x^64+1x^72

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 1.03 seconds.