The generator matrix

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

generates a code of length 11 over Z16 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+84x^6+64x^7+242x^8+256x^9+700x^10+5504x^11+696x^12+256x^13+236x^14+64x^15+85x^16+4x^18

The gray image is a code over GF(2) with n=88, k=13 and d=24.
This code was found by Heurico 1.16 in 0.0472 seconds.