The generator matrix

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

generates a code of length 21 over Z4 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+59x^10+226x^12+32x^13+586x^14+384x^15+1360x^16+1664x^17+2516x^18+3712x^19+3444x^20+4800x^21+3444x^22+3712x^23+2516x^24+1664x^25+1360x^26+384x^27+586x^28+32x^29+226x^30+59x^32+1x^42

The gray image is a code over GF(2) with n=42, k=15 and d=10.
This code was found by Heurico 1.16 in 6.27 seconds.