The generator matrix

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

generates a code of length 16 over Z16 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+66x^10+346x^11+945x^12+1982x^13+3970x^14+9662x^15+31481x^16+9764x^17+4060x^18+1998x^19+849x^20+302x^21+95x^22+10x^23+4x^24+1x^30

The gray image is a code over GF(2) with n=128, k=16 and d=40.
This code was found by Heurico 1.16 in 7.3 seconds.