The generator matrix

 1  0  1  1  1 14  1  8  1  1  6  1  0  4  8  0
 0  1 11  6  1  1  0  1  3 14  1  0  1  0  2  2
 0  0 12  0  0  0  0  4  8  4  4  8 12  4  8  8
 0  0  0 12  0  0  0 12  8  8  4  4  8  4 12  0
 0  0  0  0  4  4 12 12  8  0  0  4 12  0  8  8
 0  0  0  0  0  8  0  0  0  0  8  8  8  0  8  8
 0  0  0  0  0  0  8  8  8  8  0  0  0  0  0  8

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

Homogenous weight enumerator: w(x)=1x^0+205x^10+108x^11+992x^12+2112x^13+6436x^14+15180x^15+15409x^16+15200x^17+6518x^18+2116x^19+984x^20+96x^21+148x^22+4x^23+22x^24+5x^26

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 69.9 seconds.