The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+50x^10+56x^11+439x^12+440x^13+3026x^14+1040x^15+6291x^16+1040x^17+3014x^18+440x^19+432x^20+56x^21+54x^22+4x^24+1x^28

The gray image is a code over GF(2) with n=128, k=14 and d=40.
This code was found by Heurico 1.16 in 0.411 seconds.