The generator matrix

 1  1  1  1  2  0  1  1  2  1  1
 0  2  0  6  2  2  8  6  6  2 10
 0  0 12  0  0  0  4  0  8 12 12
 0  0  0 12  0  0  4  4 12  4 12
 0  0  0  0  4  0  0 12  8  4 12
 0  0  0  0  0  4  4  8  4  8 12

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

Homogenous weight enumerator: w(x)=1x^0+188x^6+40x^7+902x^8+1760x^9+8104x^10+10736x^11+8160x^12+1760x^13+908x^14+40x^15+153x^16+16x^18

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 0.626 seconds.