The generator matrix

 1  1  1  1  1  1  1  1  2  1  4  1  2  1  1  1
 0 12  0  4  0  0  4 12 12  8 12  0  8  0  0  0
 0  0 12  4  0 12  4  8  0  4  8  8  4  8  0  0
 0  0  0  8  0  0  0  0  8  0  8  8  0  8  0  0
 0  0  0  0  8  0  0  8  8  8  8  0  0  0  0  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  8  0  0  8  8  0  0  8

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

Homogenous weight enumerator: w(x)=1x^0+30x^10+14x^11+66x^12+88x^13+224x^14+918x^15+1407x^16+928x^17+232x^18+90x^19+54x^20+8x^21+24x^22+2x^23+8x^24+2x^26

The gray image is a code over GF(2) with n=128, k=12 and d=40.
This code was found by Heurico 1.16 in 0.0384 seconds.