The generator matrix

 1  1  1  1  1  1  2  2  2  1  1  1  1  1  1  1
 0 12  0 12  0 12 12 12 12  0  0  0  0  0  0  0
 0  0  8  0  0  0  0  0  0  0  0  0  8  0  8  0
 0  0  0  8  0  0  0  0  0  0  0  0  8  8  8  0
 0  0  0  0  8  0  0  0  0  0  0  8  0  8  0  0
 0  0  0  0  0  8  0  0  0  0  0  8  0  0  8  0
 0  0  0  0  0  0  8  0  0  0  0  8  0  8  8  0
 0  0  0  0  0  0  0  8  0  0  0  8  8  8  0  0
 0  0  0  0  0  0  0  0  8  0  0  8  8  0  8  0
 0  0  0  0  0  0  0  0  0  8  0  8  0  8  8  8
 0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8

generates a code of length 16 over Z16 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+23x^6+93x^8+220x^10+444x^12+1024x^13+779x^14+3072x^15+21451x^16+3072x^17+784x^18+1024x^19+448x^20+221x^22+87x^24+20x^26+4x^28+1x^30

The gray image is a code over GF(2) with n=128, k=15 and d=24.
This code was found by Heurico 1.16 in 0.569 seconds.