The generator matrix

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

generates a code of length 12 over Z4 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+38x^8+32x^10+116x^12+32x^14+33x^16+4x^20

The gray image is a code over GF(2) with n=24, k=8 and d=8.
This code was found by Heurico 1.16 in 0.000999 seconds.