The generator matrix

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

generates a code of length 19 over Z4 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+229x^12+542x^14+1351x^16+1876x^18+2150x^20+1280x^22+582x^24+140x^26+37x^28+2x^30+2x^32

The gray image is a code over GF(2) with n=38, k=13 and d=12.
This code was found by Heurico 1.16 in 1.01 seconds.