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

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

Homogenous weight enumerator: w(x)=1x^0+4x^40+16x^41+34x^42+16x^43+374x^44+16x^45+28x^46+16x^47+3x^48+2x^50+1x^52+1x^84

The gray image is a code over GF(2) with n=352, k=9 and d=160.
This code was found by Heurico 1.16 in 0.0503 seconds.