The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+26x^10+70x^12+106x^14+256x^16+540x^18+580x^20+300x^22+92x^24+42x^26+22x^28+10x^30+3x^32

The gray image is a code over GF(2) with n=38, k=11 and d=10.
This code was found by Heurico 1.16 in 0.0439 seconds.