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

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

Homogenous weight enumerator: w(x)=1x^0+147x^36+12x^37+298x^38+68x^39+515x^40+208x^41+938x^42+1968x^43+1010x^44+5704x^45+1536x^46+2008x^47+775x^48+208x^49+480x^50+48x^51+307x^52+12x^53+70x^54+4x^55+50x^56+6x^58+8x^60+2x^64+1x^72

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 4.7 seconds.