The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+114x^10+160x^11+470x^12+512x^13+1226x^14+1920x^15+2568x^16+3584x^17+3812x^18+4032x^19+3788x^20+3584x^21+2596x^22+1920x^23+1268x^24+512x^25+426x^26+160x^27+94x^28+18x^30+3x^32

The gray image is a code over GF(2) with n=38, k=15 and d=10.
This code was found by Heurico 1.16 in 7.71 seconds.