The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  0  1  1  1  6  1  1 10  1  1  1 12  1 10  1  0  1  1  1  6  1  1  0  1  1  1  1  1  1  1  1  6  2  1
 0  1  3  6  5  1 12 15  1 10  9  1  0  1  3  6  5  1 12  9  1 10  0 15  1  9  1  3  1  6 15 12  1  6 12  1  0  5  0  3 10 10 12  6  1  0  0
 0  0  8  0  0  0  0  0  0  8  8  0  8  0  0  0  8  8  8  8  8  0  0  0  8  8  8  8  0  8  0  8  8  8  8  0  0  8  0  8  8  0  0  8  0  8  0
 0  0  0  8  0  0  0  8  0  8  8  0  0  8  8  0  8  8  0  0  0  0  8  8  8  0  0  8  8  8  8  8  8  8  0  0  0  0  0  0  0  0  8  8  0  0  0
 0  0  0  0  8  0  0  0  8  0  8  0  8  8  8  8  8  0  8  0  8  0  8  0  8  0  8  0  8  0  8  0  8  8  8  8  8  8  8  8  0  0  0  8  0  8  0
 0  0  0  0  0  8  0  8  8  0  8  0  8  0  8  8  0  8  0  8  0  8  0  0  8  0  8  0  8  8  0  8  0  8  0  0  8  0  0  8  0  0  8  0  8  8  0
 0  0  0  0  0  0  8  8  0  8  0  8  8  8  8  8  8  8  8  0  0  8  0  8  8  8  8  8  8  0  8  8  0  0  0  0  8  8  0  8  0  8  8  0  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+30x^40+58x^41+122x^42+354x^43+548x^44+1034x^45+1215x^46+1474x^47+1228x^48+1022x^49+562x^50+342x^51+106x^52+62x^53+14x^54+6x^55+4x^56+2x^58+2x^60+3x^62+1x^64+2x^66

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 0.589 seconds.