The generator matrix

 1  0  1  1  1  6  1 12  1 10  1  1  1 14  1  1  1  0 14  1  1  8  1 12  1  1  1  1  1  1  6  8  8  0  1  1  4  1 14  6  1  6  1 12  1
 0  1 11  6 13  1  8  1 11  1 13 14 12  1  5  6  3  1  1  9 15  1 12  1  7 13  9  2 10 15  1  1  1  1 14 13  8 13  1  1  3  1 11  2  0
 0  0 12  0  4  0  0  8  8  8  0  4  4 12  4  4  8 12  4  8 12  0  8  4  8  4  0  0 12  8  4  4  4 12  8  0  8  8  0 12 12 12 12  4  0
 0  0  0 12  0  0  4  8 12  0  4  8 12  0 12 12  0 12  8  0 12 12  8 12  4  8  8 12 12  0 12 12  0 12  4  4  4  0 12  8  8  8  0  4  0
 0  0  0  0  8  0  8  8  8  8  8  8  8  8  0  8  8  8  0  0  8  8  8  0  0  8  8  0  0  0  0  8  8  0  0  0  0  8  0  8  8  0  0  8  0
 0  0  0  0  0  8  0  8  0  0  8  0  0  0  0  8  8  8  8  8  0  8  0  8  0  8  0  8  8  0  0  8  8  8  8  8  8  8  8  8  0  0  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+54x^38+150x^39+407x^40+564x^41+1341x^42+1860x^43+2541x^44+2566x^45+2603x^46+1852x^47+1345x^48+544x^49+317x^50+100x^51+47x^52+32x^53+35x^54+6x^55+10x^56+4x^57+2x^58+2x^61+1x^64

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 2.25 seconds.