The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+63x^14+112x^15+211x^16+248x^17+302x^18+448x^19+398x^20+408x^21+504x^22+496x^23+360x^24+232x^25+142x^26+96x^27+50x^28+8x^29+9x^30+4x^32+4x^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 0.405 seconds.