The generator matrix

 1  0  1  1  1  0  1  1  1  1  2  1
 0  1  3  6  5  1  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+96x^5+58x^6+480x^7+338x^8+1312x^9+2376x^10+12448x^11+31170x^12+12448x^13+2508x^14+1312x^15+173x^16+480x^17+168x^18+96x^19+9x^20+10x^22

The gray image is a code over GF(2) with n=96, k=16 and d=16.
This code was found by Heurico 1.16 in 0.597 seconds.