The generator matrix

 1  0  1  1  1  4  1 10  1  8  8  1  1  0  2  1
 0  1  1  0 11  1 10  1  5  1  2  7  6  1  1  0
 0  0  2  6  4  6 14  6  4  0  6  6  4  4  2  0
 0  0  0 12  0  4  0  8  4  4 12  4 12  4  0  0
 0  0  0  0  8  0  0  0  0  0  8  0  8  8  0  8
 0  0  0  0  0  8  0  0  8  8  0  0  8  0  8  8
 0  0  0  0  0  0  8  8  0  8  0  8  0  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+56x^10+176x^11+516x^12+2016x^13+5813x^14+13664x^15+20981x^16+13696x^17+5872x^18+2032x^19+516x^20+160x^21+34x^22+2x^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 80.4 seconds.