The generator matrix

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

generates a code of length 15 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+68x^12+32x^13+130x^14+64x^15+125x^16+32x^17+44x^18+12x^20+2x^22+2x^24

The gray image is a code over GF(2) with n=60, k=9 and d=24.
This code was found by Heurico 1.16 in 0.343 seconds.