The generator matrix

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

generates a code of length 45 over Z16 who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+40x^37+138x^38+288x^39+340x^40+878x^41+1048x^42+1940x^43+2085x^44+2840x^45+2057x^46+2146x^47+1063x^48+796x^49+292x^50+210x^51+72x^52+48x^53+44x^54+22x^55+20x^56+6x^57+4x^58+2x^59+3x^60+1x^62

The gray image is a code over GF(2) with n=360, k=14 and d=148.
This code was found by Heurico 1.16 in 3.64 seconds.