The generator matrix

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

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+157x^10+8x^11+464x^12+224x^13+900x^14+560x^15+941x^16+224x^17+466x^18+8x^19+128x^20+12x^22+2x^24+1x^26

The gray image is a code over GF(2) with n=60, k=12 and d=20.
This code was found by Heurico 1.16 in 1.59 seconds.