The generator matrix

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

generates a code of length 9 over Z4 who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+45x^4+32x^5+79x^6+128x^7+131x^8+192x^9+131x^10+128x^11+79x^12+32x^13+45x^14+1x^18

The gray image is a code over GF(2) with n=18, k=10 and d=4.
This code was found by Heurico 1.16 in 0.00185 seconds.