The generator matrix

 1  0  0  0  0  1  1  1  0  1  1  0  2  0  1  2  1  1  1
 0  1  0  0  0  0  0  0  0  1  1  1  2  2  3  1  2  2  0
 0  0  1  0  0  0  1  1  1  1  1  2  2  1  1  0  0  0  0
 0  0  0  1  0  1  1  0  1  0  1  3  1  0  0  3  2  0  0
 0  0  0  0  1  1  0  1  1  0  1  1  1  1  1  2  3  1  0
 0  0  0  0  0  2  0  0  0  0  2  2  2  0  2  2  2  2  0
 0  0  0  0  0  0  2  0  0  2  2  0  2  2  0  2  0  0  0
 0  0  0  0  0  0  0  2  0  2  0  2  0  2  0  2  2  2  0
 0  0  0  0  0  0  0  0  2  0  2  2  0  2  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+48x^10+80x^11+239x^12+398x^13+650x^14+948x^15+1235x^16+1628x^17+1880x^18+2036x^19+1974x^20+1704x^21+1276x^22+956x^23+602x^24+356x^25+232x^26+76x^27+43x^28+10x^29+10x^30+2x^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 4.71 seconds.