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

generates a code of length 44 over Z16 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+51x^40+84x^42+64x^43+645x^44+64x^45+64x^46+32x^48+12x^50+6x^52+1x^84

The gray image is a code over GF(2) with n=352, k=10 and d=160.
This code was found by Heurico 1.16 in 0.0654 seconds.