The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+122x^36+20x^37+458x^38+272x^39+991x^40+1084x^41+2698x^42+3328x^43+4965x^44+4916x^45+4998x^46+3312x^47+2657x^48+1140x^49+984x^50+256x^51+358x^52+8x^53+134x^54+55x^56+6x^58+3x^60+2x^62

The gray image is a code over GF(2) with n=360, k=15 and d=144.
This code was found by Heurico 1.16 in 13.6 seconds.