The generator matrix

 1  0  0  1  1  1  X  2  1  1  1  X  1 X+2  1
 0  1  0  1  X X+3  1  0 X+2  1  2  1 X+3  1  0
 0  0  1  1  1  0  1  1  0  X  2  0 X+2 X+1  0
 0  0  0  X  0 X+2  2  X  2  2 X+2 X+2  X  0  0
 0  0  0  0  2  2  2  2  2  0  0  2  0  2  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+48x^10+122x^11+307x^12+432x^13+781x^14+700x^15+833x^16+408x^17+282x^18+122x^19+43x^20+8x^21+9x^22

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 0.0747 seconds.