The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+28x^6+90x^7+92x^8+168x^9+390x^10+2526x^11+396x^12+240x^13+88x^14+38x^15+23x^16+8x^17+6x^18+2x^19

The gray image is a code over GF(2) with n=88, k=12 and d=24.
This code was found by Heurico 1.16 in 0.0154 seconds.