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

generates a code of length 45 over Z16 who´s minimum homogenous weight is 41.

Homogenous weight enumerator: w(x)=1x^0+34x^41+23x^42+20x^43+106x^44+664x^45+102x^46+20x^47+20x^48+22x^49+3x^50+8x^51+1x^88

The gray image is a code over GF(2) with n=360, k=10 and d=164.
This code was found by Heurico 1.16 in 0.103 seconds.