The generator matrix

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

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+298x^10+868x^11+2207x^12+3596x^13+6044x^14+6344x^15+6542x^16+3832x^17+1994x^18+660x^19+305x^20+60x^21+16x^22+1x^24

The gray image is a code over GF(2) with n=60, k=15 and d=20.
This code was found by Heurico 1.13 in 1.79 seconds.