The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  1  2  2  1  2
 0  2  0  0  0  0  0  0  0  0  2  2  2  0  2  0
 0  0  2  0  0  0  0  0  0  2  2  2  2  0  0  2
 0  0  0  2  0  0  0  0  0  2  0  0  2  2  2  0
 0  0  0  0  2  0  0  0  2  0  0  0  2  2  2  2
 0  0  0  0  0  2  0  0  2  0  0  2  0  2  2  0
 0  0  0  0  0  0  2  0  2  2  0  2  2  2  0  2
 0  0  0  0  0  0  0  2  2  2  2  0  2  0  0  0

generates a code of length 16 over Z4 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+24x^10+60x^12+104x^14+141x^16+104x^18+44x^20+24x^22+10x^24

The gray image is a code over GF(2) with n=32, k=9 and d=10.
This code was found by Heurico 1.16 in 0.109 seconds.