The generator matrix

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

generates a code of length 21 over Z4 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+120x^14+374x^16+680x^18+830x^20+926x^22+734x^24+302x^26+106x^28+18x^30+3x^32+2x^34

The gray image is a code over GF(2) with n=42, k=12 and d=14.
This code was found by Heurico 1.16 in 1.04 seconds.