The generator matrix

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

generates a code of length 16 over Z16 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+23x^12+30x^13+54x^14+232x^15+357x^16+220x^17+53x^18+24x^19+19x^20+6x^21+4x^22+1x^26

The gray image is a code over GF(2) with n=128, k=10 and d=48.
This code was found by Heurico 1.16 in 0.00572 seconds.