The generator matrix

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

generates a code of length 21 over Z4 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+62x^12+140x^14+96x^15+446x^16+576x^17+518x^18+416x^19+820x^20+1920x^21+928x^22+416x^23+616x^24+576x^25+388x^26+96x^27+94x^28+68x^30+9x^32+6x^34

The gray image is a code over GF(2) with n=42, k=13 and d=12.
This code was found by Heurico 1.16 in 0.883 seconds.