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

generates a code of length 41 over Z16 who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+23x^38+24x^39+139x^40+148x^41+131x^42+16x^43+20x^44+4x^45+5x^46+1x^74

The gray image is a code over GF(2) with n=328, k=9 and d=152.
This code was found by Heurico 1.16 in 0.0395 seconds.