The generator matrix

 1  1  1  1  1  1  1  1  X  X  X  X  X  1  1
 0  X  0  0  0  X X+2  X  2  0  0  2  0  X  0
 0  0  X  0  X  X X+2  0  0  X  X  X  X X+2  0
 0  0  0  X  X  0 X+2  X  X  X  X  0  X  X  2
 0  0  0  0  2  0  0  0  0  2  2  0  2  2  2
 0  0  0  0  0  2  0  0  2  2  0  0  2  0  0
 0  0  0  0  0  0  2  0  2  0  2  0  2  2  0
 0  0  0  0  0  0  0  2  2  2  0  2  0  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+22x^8+78x^9+112x^10+314x^11+333x^12+1238x^13+560x^14+2898x^15+549x^16+1194x^17+336x^18+366x^19+114x^20+50x^21+16x^22+6x^23+4x^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 0.204 seconds.