The generator matrix

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

generates a code of length 45 over Z16 who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+117x^38+136x^39+541x^40+628x^41+1035x^42+1792x^43+2501x^44+3132x^45+2365x^46+1768x^47+990x^48+556x^49+409x^50+144x^51+182x^52+36x^53+34x^54+8x^56+8x^58+1x^68

The gray image is a code over GF(2) with n=360, k=14 and d=152.
This code was found by Heurico 1.16 in 3.21 seconds.