The generator matrix

 1  0  1  1  1 X+2  1  1  1  0  1  1  1  X  2
 0  1 X+1 X+2  3  1  0 X+2 X+1  1  1  2  X  X  1
 0  0  2  2  0  2  2  0  0  2  0  0  0  2  2

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+71x^14+45x^16+8x^18+2x^20+1x^22

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 0.0049 seconds.