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.