The generator matrix

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

generates a code of length 18 over Z4 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+263x^10+1344x^12+3396x^14+6918x^16+8906x^18+6920x^20+3460x^22+1304x^24+231x^26+24x^28+1x^32

The gray image is a code over GF(2) with n=36, k=15 and d=10.
This code was found by Heurico 1.16 in 18.8 seconds.