The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+263x^14+687x^16+1214x^18+1863x^20+1980x^22+1348x^24+594x^26+192x^28+45x^30+4x^32+1x^36

The gray image is a code over GF(2) with n=42, k=13 and d=14.
This code was found by Heurico 1.16 in 30.6 seconds.