The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+208x^10+1638x^11+6491x^12+24280x^13+58629x^14+79640x^15+58521x^16+24520x^17+6466x^18+1486x^19+235x^20+16x^21+9x^22+4x^23

The gray image is a code over GF(2) with n=120, k=18 and d=40.
This code was found by Heurico 1.16 in 68.3 seconds.