The generator matrix

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

generates a code of length 19 over Z4 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+31x^14+42x^15+53x^16+60x^17+52x^18+54x^19+42x^20+64x^21+36x^22+30x^23+30x^24+4x^25+8x^26+2x^27+2x^28+1x^30

The gray image is a code over GF(2) with n=38, k=9 and d=14.
This code was found by Heurico 1.16 in 0.00724 seconds.