The generator matrix

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

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+46x^8+48x^10+261x^12+648x^14+725x^16+192x^18+106x^20+8x^22+12x^24+1x^28

The gray image is a code over GF(2) with n=60, k=11 and d=16.
This code was found by Heurico 1.16 in 0.0138 seconds.