The generator matrix

 1  0  0  1  1  1  X  1  1 X+2  1  1  0  1  1
 0  1  0  1 X+2 X+3  1  0  3  1  X X+1  1  0  0
 0  0  1  1 X+3 X+2  1 X+2 X+1 X+1  X  0  0  0  0
 0  0  0  2  0  0  0  0  0  2  0  2  2  0  0
 0  0  0  0  2  0  0  0  2  2  0  2  0  0  0
 0  0  0  0  0  2  0  0  2  2  2  2  2  0  0
 0  0  0  0  0  0  2  0  2  0  0  2  2  2  2
 0  0  0  0  0  0  0  2  2  0  2  0  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+53x^8+48x^9+164x^10+352x^11+1345x^12+1232x^13+3532x^14+2880x^15+3623x^16+1232x^17+1276x^18+352x^19+214x^20+48x^21+20x^22+11x^24+1x^28

The gray image is a code over GF(2) with n=60, k=14 and d=16.
This code was found by Heurico 1.16 in 0.429 seconds.