The generator matrix

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

generates a code of length 15 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+108x^9+549x^10+1792x^11+3604x^12+8164x^13+11303x^14+14600x^15+10963x^16+8372x^17+3827x^18+1648x^19+440x^20+124x^21+33x^22+8x^23

The gray image is a code over GF(2) with n=60, k=16 and d=18.
This code was found by Heurico 1.13 in 4.74 seconds.