The generator matrix

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

generates a code of length 16 over Z16 who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+28x^9+78x^10+238x^11+302x^12+986x^13+2494x^14+6918x^15+10639x^16+6970x^17+2490x^18+1002x^19+306x^20+206x^21+58x^22+34x^23+16x^24+2x^25

The gray image is a code over GF(2) with n=128, k=15 and d=36.
This code was found by Heurico 1.16 in 1.2 seconds.