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  2  1  1  1  1  1  1  1  2  2  2  2  2  1  2  1  1
 0  8  0  0  0  0  0  0  0  0  0  0  0  0  8  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  0  8  8  8  8  8  8  0  0  0  8  8  0  8  8  0  0
 0  0  8  0  0  0  0  0  0  0  0  0  0  0  8  0  0  0  0  8  8  8  8  8  8  8  0  0  8  8  8  8  0  0  8  8  0  8  8  0  0  8  8  8  0  8  0
 0  0  0  8  0  0  0  0  0  0  0  0  0  8  0  0  0  8  8  8  8  8  8  0  0  0  0  8  8  0  0  0  0  8  8  8  8  0  8  8  8  8  0  0  8  8  0
 0  0  0  0  8  0  0  0  0  0  0  0  0  8  0  8  8  8  8  8  8  0  8  8  0  8  8  8  8  8  8  8  8  8  8  8  0  8  0  0  8  0  8  0  8  8  0
 0  0  0  0  0  8  0  0  0  0  0  0  8  0  0  8  8  0  8  8  0  8  0  8  0  8  8  8  8  0  0  0  0  8  0  8  8  0  8  0  0  0  8  8  0  8  0
 0  0  0  0  0  0  8  0  0  0  0  0  8  0  0  0  8  8  8  8  0  8  8  0  8  0  8  0  0  0  8  0  0  8  8  0  0  8  8  8  0  8  8  0  8  0  0
 0  0  0  0  0  0  0  8  0  0  0  8  0  0  0  0  8  8  0  8  0  0  0  8  8  8  0  0  0  8  8  0  8  8  8  8  0  0  8  0  8  8  0  0  0  8  0
 0  0  0  0  0  0  0  0  8  0  0  8  0  0  0  8  0  0  8  0  8  0  0  8  0  0  0  0  8  8  8  8  0  8  8  0  8  0  0  8  0  8  8  0  8  0  8
 0  0  0  0  0  0  0  0  0  8  0  8  8  8  8  8  0  0  0  8  0  0  8  8  0  0  8  0  8  8  0  0  0  0  8  8  8  8  8  8  8  8  8  8  8  8  8
 0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  0  0  8  8  8  8  8  0  8  0  8  0  0  8  0  8  0  0  0  8  0  0  8  0  8  8  0  8  0  0  8  0

generates a code of length 47 over Z16 who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+33x^34+105x^36+152x^38+189x^40+286x^42+515x^44+768x^46+12288x^47+768x^48+532x^50+295x^52+184x^54+123x^56+74x^58+45x^60+16x^62+6x^64+3x^66+1x^80

The gray image is a code over GF(2) with n=376, k=14 and d=136.
This code was found by Heurico 1.16 in 5.26 seconds.