The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+47x^40+136x^41+215x^42+266x^43+630x^44+754x^45+1447x^46+1288x^47+1417x^48+802x^49+578x^50+196x^51+194x^52+86x^53+47x^54+40x^55+15x^56+14x^57+15x^58+2x^59+1x^62+1x^70

The gray image is a code over GF(2) with n=376, k=13 and d=160.
This code was found by Heurico 1.16 in 1.02 seconds.