The generator matrix

 1  1  1  1  2  2  1  1  1  1  2  1
 0  2 12  6  6  6  0  0  0  0  0  0
 0  0  8  0  0  0  0  0  0  0  8  0
 0  0  0  8  0  0  0  0  0  0  8  0
 0  0  0  0  8  0  0  0  0  0  8  0
 0  0  0  0  0  8  0  0  0  0  8  0
 0  0  0  0  0  0  8  0  0  0  8  0
 0  0  0  0  0  0  0  8  0  0  8  0
 0  0  0  0  0  0  0  0  8  0  8  0
 0  0  0  0  0  0  0  0  0  8  8  0

generates a code of length 12 over Z16 who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+53x^4+32x^5+58x^6+160x^7+338x^8+608x^9+2376x^10+3296x^11+18882x^12+3296x^13+2508x^14+608x^15+173x^16+160x^17+168x^18+32x^19+9x^20+10x^22

The gray image is a code over GF(2) with n=96, k=15 and d=16.
This code was found by Heurico 1.16 in 0.256 seconds.