The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+58x^14+142x^15+176x^16+248x^17+332x^18+350x^19+468x^20+498x^21+450x^22+462x^23+324x^24+262x^25+178x^26+66x^27+52x^28+14x^29+4x^30+4x^31+3x^32+2x^33+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 0.363 seconds.