The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+150x^10+56x^11+693x^12+1176x^13+3644x^14+5936x^15+9409x^16+5936x^17+3752x^18+1176x^19+634x^20+56x^21+132x^22+14x^24+2x^26+1x^28

The gray image is a code over GF(2) with n=128, k=15 and d=40.
This code was found by Heurico 1.16 in 4.63 seconds.