The generator matrix

 1  0  0  0  1  1  1  0  1  1  1  2  1  1  1
 0  1  0  0  0  1  1  1  2  2  0  0  2  0  0
 0  0  1  0  1  1  0  1  0  1  2  1  0  2  0
 0  0  0  1  1  0  1  1  1  0  1  1  3  2  0
 0  0  0  0  2  0  0  0  0  2  2  0  2  2  0
 0  0  0  0  0  2  0  0  2  2  2  0  0  0  0
 0  0  0  0  0  0  2  0  2  0  2  2  0  2  0
 0  0  0  0  0  0  0  2  2  0  2  0  2  2  0

generates a code of length 15 over Z4 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+75x^8+266x^10+651x^12+1042x^14+1069x^16+670x^18+244x^20+70x^22+7x^24+1x^28

The gray image is a code over GF(2) with n=30, k=12 and d=8.
This code was found by Heurico 1.16 in 0.0932 seconds.