The generator matrix

 1  0  1  0  1  0  1  2  1  0  1  2  1  1  2
 0  1  0  1  0  1  2  1  0  1  2  1  2  2  1
 0  0  2  0  0  2  2  2  2  2  2  0  0  0  2
 0  0  0  2  2  2  2  0  2  0  0  2  2  0  2

generates a code of length 15 over Z4 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+15x^14+32x^15+15x^16+1x^30

The gray image is a code over GF(2) with n=30, k=6 and d=14.
This code was found by Heurico 1.16 in 0.0885 seconds.