The generator matrix

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

generates a code of length 21 over Z4 who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+68x^15+130x^16+116x^17+178x^18+204x^19+221x^20+242x^21+177x^22+204x^23+201x^24+146x^25+89x^26+36x^27+23x^28+6x^29+3x^30+2x^33+1x^34

The gray image is a code over GF(2) with n=42, k=11 and d=15.
This code was found by Heurico 1.16 in 10.6 seconds.