The generator matrix

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

generates a code of length 15 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+47x^8+16x^9+152x^10+128x^11+845x^12+496x^13+1992x^14+768x^15+2111x^16+496x^17+776x^18+128x^19+186x^20+16x^21+24x^22+9x^24+1x^28

The gray image is a code over GF(2) with n=60, k=13 and d=16.
This code was found by Heurico 1.16 in 0.163 seconds.