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  2  2  4  4  4  2  1  2  2  4  2  1  1  1  1  1
 0 12  0  0  0  0  0  0  0  0  8  4 12 12  8  0 12 12  4 12 12  8  8  8  0  4  8  4 12  0  0  8  8 12 12  4  8 12  4  4  8  4 12  0  0
 0  0 12  0  0  0  0  0  0  0 12  8  4 12  4  4  4  0  4  8  4  8  0  4  4  4  8  4  0 12  8 12  0  8 12  0 12  4  8  0  8  0  8  0  8
 0  0  0 12  0  0  8 12 12  4  4 12  8 12 12  0  8  8  0 12  8  8  0  4  8 12 12  8  0  4 12  8  8 12 12 12  0  0  8 12  0 12  4  8  8
 0  0  0  0 12  0 12 12  4  8  0  0  0  0  8  0 12  4  4  4  0  8 12 12  4  8  8 12  0  4  0 12 12  8  8  0  4  4  4  4  4  4  4  8  0
 0  0  0  0  0 12  4  8  4  4  0  0  0  0  4  4  0 12  4  8  8  8  0 12 12  4  8 12  8  8  4  0  0  4  0  4  8 12  8 12 12  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+71x^36+114x^37+177x^38+234x^39+312x^40+436x^41+829x^42+1674x^43+2676x^44+3304x^45+2740x^46+1670x^47+891x^48+420x^49+278x^50+222x^51+109x^52+70x^53+66x^54+40x^55+36x^56+8x^57+5x^58+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 4.56 seconds.