The generator matrix

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

generates a code of length 11 over Z16 who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+36x^4+32x^6+190x^8+128x^9+232x^10+2816x^11+316x^12+128x^13+112x^14+89x^16+8x^18+8x^20

The gray image is a code over GF(2) with n=88, k=12 and d=16.
This code was found by Heurico 1.16 in 0.00596 seconds.