The generator matrix

 1  0  1  1  1  0  1  0  1  2  1  1  1  1  2
 0  1  1  0  1  1  0  1 X+1  1  3 X+1  2  X  1
 0  0  X  0  0  0  0  0  X  2 X+2  2 X+2 X+2 X+2
 0  0  0  X  0  0 X+2 X+2  X X+2  2 X+2  0  X  X
 0  0  0  0  X X+2 X+2  X  2  0  X X+2  2 X+2 X+2
 0  0  0  0  0  2  2  2  0  0  2  0  2  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+154x^10+64x^11+662x^12+640x^13+1743x^14+1664x^15+1743x^16+640x^17+662x^18+64x^19+154x^20+1x^30

The gray image is a code over GF(2) with n=60, k=13 and d=20.
This code was found by Heurico 1.16 in 3.52 seconds.