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

generates a code of length 47 over Z16 who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+54x^42+88x^43+101x^44+128x^45+530x^46+272x^47+542x^48+64x^49+114x^50+88x^51+55x^52+6x^54+4x^56+1x^88

The gray image is a code over GF(2) with n=376, k=11 and d=168.
This code was found by Heurico 1.16 in 0.12 seconds.