The generator matrix

 1  1  1  1  2  2  2  1  1  4  1
 0  2  0  2  0  2  6 12  8  2  4
 0  0  2  2  2  6  0  6  4  2  2
 0  0  0  4  0  4  4  4  4  0  8
 0  0  0  0  4  0  4 12 12  8  0
 0  0  0  0  0  8  0  0  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+90x^6+186x^7+839x^8+2650x^9+7252x^10+10708x^11+7279x^12+2660x^13+842x^14+178x^15+72x^16+2x^17+8x^18+1x^20

The gray image is a code over GF(2) with n=88, k=15 and d=24.
This code was found by Heurico 1.16 in 0.714 seconds.