The generator matrix

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

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+28x^9+85x^10+176x^11+452x^12+908x^13+1504x^14+1856x^15+1525x^16+948x^17+450x^18+144x^19+68x^20+36x^21+8x^22+2x^24+1x^26

The gray image is a code over GF(2) with n=60, k=13 and d=18.
This code was found by Heurico 1.16 in 0.283 seconds.