The generator matrix

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

generates a code of length 15 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+28x^9+154x^10+378x^11+1072x^12+1632x^13+3382x^14+3086x^15+3389x^16+1644x^17+1062x^18+374x^19+144x^20+24x^21+10x^22+2x^23+2x^24

The gray image is a code over GF(2) with n=60, k=14 and d=18.
This code was found by Heurico 1.16 in 0.826 seconds.