The generator matrix

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

generates a code of length 45 over Z16 who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+24x^38+32x^39+126x^40+136x^41+223x^42+548x^43+547x^44+884x^45+520x^46+536x^47+189x^48+128x^49+120x^50+36x^51+26x^52+4x^53+7x^54+4x^56+1x^58+3x^60+1x^70

The gray image is a code over GF(2) with n=360, k=12 and d=152.
This code was found by Heurico 1.16 in 0.276 seconds.