The generator matrix

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

generates a code of length 17 over Z4 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+14x^14+24x^15+23x^16+32x^17+12x^18+4x^20+6x^22+8x^23+4x^24

The gray image is a code over GF(2) with n=34, k=7 and d=14.
This code was found by Heurico 1.16 in 0.0034 seconds.