The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+72x^36+120x^37+153x^38+240x^39+305x^40+420x^41+756x^42+1520x^43+2818x^44+3590x^45+2833x^46+1560x^47+725x^48+414x^49+296x^50+176x^51+150x^52+122x^53+52x^54+24x^55+25x^56+6x^57+4x^58+1x^62+1x^70

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 4.47 seconds.