The generator matrix

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

generates a code of length 45 over Z16 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+44x^36+68x^37+186x^38+214x^39+393x^40+786x^41+1163x^42+1806x^43+2347x^44+2474x^45+2303x^46+1818x^47+1134x^48+710x^49+392x^50+234x^51+156x^52+58x^53+42x^54+24x^55+15x^56+5x^58+5x^60+5x^62+1x^64

The gray image is a code over GF(2) with n=360, k=14 and d=144.
This code was found by Heurico 1.16 in 3.54 seconds.