The generator matrix

 1  0  1  1  1  6  1  1  0  1  1
 0  1  3  6  5  1 12  3  1  0  0
 0  0  8  0  0  0  0  8  0  0  8
 0  0  0  8  0  0  0  8  0  8  8
 0  0  0  0  8  0  0  8  8  8  0
 0  0  0  0  0  8  0  8  8  0  0
 0  0  0  0  0  0  8  8  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+16x^6+16x^7+142x^8+448x^9+1764x^10+3424x^11+1760x^12+448x^13+136x^14+16x^15+17x^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 0.0223 seconds.