The generator matrix

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

generates a code of length 15 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+146x^10+368x^11+1243x^12+1664x^13+3176x^14+3088x^15+3318x^16+1712x^17+1178x^18+320x^19+141x^20+16x^21+12x^22+1x^24

The gray image is a code over GF(2) with n=60, k=14 and d=20.
This code was found by Heurico 1.13 in 0.461 seconds.