The generator matrix

 1  0  1  1  1  6  1  1  8  1 14  1  8  1  1  1 14  1  1 12  1  1  6  1  1  1  6  1  8  1  1  1  1  1  1  4  1  1  6  8  1  8  2  1 12  0  1
 0  1 11  6  1  1  8 11  1 13  1  6  1  0 11  5  1 14  4  1 10  7  1  5  6  3  1 11  1  8  8  6  4 11  5  1  7  9  1  2  6  4  1 13  1  2  8
 0  0 12  0  0  0  0  0  8  4  0  8  0  8 12  4 12  4  0  8  4  8  4  4 12  8 12 12 12  8  4  0  0  8  0  4  4  4  8  0  4 12  4  0 12 12  0
 0  0  0 12  0  0 12  8 12  0 12  0  0 12 12  0  8  8  8  4 12  4 12  4  0  8  8  4  4  0 12  0 12  4  8  4  4  8  8 12 12  8  4  0  4  0  0
 0  0  0  0  4  0  8  4  0  8  8  0  4 12  4 12  0  8 12 12  0  8  8  0  4  8 12  4  4  4  4  0  8  4  0 12  0  0 12  0  8  8  4 12  8 12 12
 0  0  0  0  0  8  8  8  0  8  8  8  8  0  0  8  8  8  8  0  0  0  0  8  8  8  0  8  0  0  8  0  0  0  8  8  0  0  0  8  0  8  0  0  0  8  8

generates a code of length 47 over Z16 who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+36x^39+168x^40+316x^41+648x^42+1366x^43+2573x^44+3764x^45+4716x^46+5448x^47+5075x^48+3828x^49+2378x^50+1252x^51+648x^52+268x^53+106x^54+84x^55+44x^56+16x^57+22x^58+6x^59+3x^60+2x^62

The gray image is a code over GF(2) with n=376, k=15 and d=156.
This code was found by Heurico 1.16 in 9.21 seconds.