The generator matrix

 1  0  0  0  0  0  1  1  1  0  1  1  1  1  1  2  1  2  1
 0  1  0  0  0  0  0  0  0  0  2  1  1  3  1  1  0  2  0
 0  0  1  0  0  0  0  0  0  0  3  1  3  2  3  1  3  1  0
 0  0  0  1  0  0  0  1  1  1  1  0  2  3  1  2  0  3  0
 0  0  0  0  1  0  1  1  0  1  0  0  1  2  3  2  3  1  0
 0  0  0  0  0  1  1  0  1  1  0  2  1  2  0  1  1  1  0
 0  0  0  0  0  0  2  0  0  2  2  0  0  2  2  0  2  0  0
 0  0  0  0  0  0  0  2  0  2  2  2  0  0  0  0  2  0  0
 0  0  0  0  0  0  0  0  2  2  0  0  0  2  0  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+133x^10+130x^11+621x^12+528x^13+1354x^14+1784x^15+2597x^16+3480x^17+3531x^18+4476x^19+3390x^20+3624x^21+2624x^22+1688x^23+1434x^24+552x^25+543x^26+114x^27+149x^28+8x^29+6x^30+1x^34

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 9.14 seconds.