The generator matrix

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

generates a code of length 47 over Z16 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+96x^36+32x^38+352x^40+32x^41+340x^42+192x^43+1531x^44+1504x^45+2720x^46+2688x^47+2935x^48+1504x^49+1352x^50+192x^51+507x^52+32x^53+160x^54+155x^56+4x^58+41x^60+12x^64+1x^68+1x^72

The gray image is a code over GF(2) with n=376, k=14 and d=144.
This code was found by Heurico 1.16 in 4.94 seconds.