The generator matrix

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

generates a code of length 9 over Z4 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+14x^6+16x^7+18x^8+32x^9+16x^10+16x^11+12x^12+2x^14+1x^16

The gray image is a code over GF(2) with n=18, k=7 and d=6.
This code was found by Heurico 1.16 in 0.000383 seconds.