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  1  1  1  1  2  1  1  4  1  2  1  1  1  2  4
 0 12  0  0  0  4 12 12  8  8  0  0  4  4  4 12  0  8  4 12  4  0  8  8  8 12 12 12  0  0 12  4  4  4  4  8 12 12  0  4  4  4  4  4 12  0  4
 0  0 12  0  4  4  4  0  8  0  4 12  4  4  0  8  0  8 12  4  8  0 12  0  4 12  4  8 12  4  0  8  0  0  0  8 12  8  8  8 12 12  4 12 12  8  8
 0  0  0 12  4  8  4  4  0  4  4  0  0 12  4  8  0 12  4 12  4  4  8  0  8  8  0  8 12 12  8  0  0  4 12  0  4 12 12 12  8  0  4 12 12  4  4
 0  0  0  0  8  8  0  8  8  8  0  8  0  8  0  8  8  8  0  8  0  0  8  0  0  8  0  0  8  0  8  8  8  8  8  0  8  0  0  8  0  8  0  0  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+119x^42+12x^43+61x^44+240x^45+109x^46+1032x^47+38x^48+240x^49+99x^50+12x^51+22x^52+55x^54+5x^56+2x^58+1x^84

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 3.56 seconds.