The generator matrix

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

generates a code of length 19 over Z4 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+82x^10+330x^12+1062x^14+2648x^16+4116x^18+4004x^20+2604x^22+1156x^24+314x^26+50x^28+14x^30+3x^32

The gray image is a code over GF(2) with n=38, k=14 and d=10.
This code was found by Heurico 1.16 in 3.87 seconds.