The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  X  0  X  0  0  X X+2  2  2 X+2 X+2  2  2 X+2
 0  0  X  X  2 X+2 X+2  0  X  2 X+2  2  0 X+2  X

generates a code of length 15 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+15x^14+96x^15+15x^16+1x^30

The gray image is a code over GF(2) with n=60, k=7 and d=28.
This code was found by Heurico 1.16 in 0.000976 seconds.