The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+216x^10+1606x^11+6515x^12+24344x^13+58517x^14+79640x^15+58633x^16+24456x^17+6442x^18+1518x^19+227x^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 72.3 seconds.