The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+45x^10+8x^11+144x^12+16x^13+240x^14+296x^15+458x^16+832x^17+1160x^18+1744x^19+2048x^20+2400x^21+2048x^22+1744x^23+1160x^24+832x^25+458x^26+296x^27+240x^28+16x^29+144x^30+8x^31+45x^32+1x^42

The gray image is a code over GF(2) with n=42, k=14 and d=10.
This code was found by Heurico 1.16 in 2 seconds.