The generator matrix

 1  0  1  1  1  4  1  2  1  1  1 14  1  0  1  1  1  2  1  1 10  1 12  1  1  1  1  4  1  1  0  1  4  1  1 14 12  1 12  1  1  1  1  2  4  1  1
 0  1  1  0  3  1 15  1  6  5  2  1  8  1 11 10 11  1  0 14  1  1  1  9 14 11 11  1 10  6  1  3  2  8  7  1  2  7  1 13  6  0  2  4  1  6  6
 0  0  2  6  0  2  6  2  0  8  6 12  4 12  4  2  2 12 10 12  6  6 10 12  0  6  0  0  4 10 10 12  2  8 14  4 10  0  4  6  6 12 14 10 14 12  0
 0  0  0 12  0  0  8  8  0  0  4  0  8  0  8  4  0  0 12  8  8  4 12  4  4 12 12  4  4  8  4 12  0  4  0  0 12  4 12  0  8  8  8  4  8  4  8
 0  0  0  0  8  0  0  0  0  8  0  0  0  0  0  8  8  8  8  8  8  0  8  0  8  0  8  0  8  0  0  8  8  0  8  8  8  0  8  8  0  8  8  0  8  8  0
 0  0  0  0  0  8  8  0  8  8  8  8  0  0  8  0  0  8  8  8  0  0  0  8  0  8  8  0  8  0  0  0  8  0  8  0  8  0  0  8  8  8  0  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+90x^40+318x^41+765x^42+1312x^43+2681x^44+3122x^45+5582x^46+4892x^47+6043x^48+3154x^49+2390x^50+1168x^51+700x^52+302x^53+136x^54+44x^55+18x^56+16x^57+21x^58+8x^59+3x^60+2x^62

The gray image is a code over GF(2) with n=376, k=15 and d=160.
This code was found by Heurico 1.16 in 8.76 seconds.