The generator matrix

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

generates a code of length 45 over Z16 who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+88x^32+56x^34+30x^35+224x^36+152x^37+251x^38+530x^39+412x^40+1880x^41+472x^42+6588x^43+534x^44+10272x^45+539x^46+6644x^47+514x^48+1888x^49+427x^50+518x^51+220x^52+136x^53+217x^54+26x^55+40x^56+8x^57+67x^58+14x^60+17x^62+1x^64+1x^66+1x^74

The gray image is a code over GF(2) with n=360, k=15 and d=128.
This code was found by Heurico 1.16 in 15.8 seconds.