The generator matrix

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

generates a code of length 12 over Z4 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+17x^6+38x^8+44x^10+128x^11+52x^12+128x^13+54x^14+33x^16+12x^18+4x^20+1x^22

The gray image is a code over GF(2) with n=24, k=9 and d=6.
This code was found by Heurico 1.16 in 0.00246 seconds.