The generator matrix
1 1 1 1 1 1 1 1 1 1 X 2 1 X 1 1
0 X 0 X^2+X X^2 X^2+X+2 X^2+2 X 0 X^2+X X^2+X+2 X X^2+2 2 X^2+X+2 0
0 0 X^2+2 0 X^2 X^2 2 X^2 0 2 X^2 X^2 0 X^2 2 2
0 0 0 2 2 0 2 2 2 0 0 2 0 2 2 0
generates a code of length 16 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 13.
Homogenous weight enumerator: w(x)=1x^0+42x^13+80x^14+210x^15+360x^16+236x^17+61x^18+12x^19+6x^20+10x^21+2x^22+2x^23+1x^24+1x^26
The gray image is a code over GF(2) with n=128, k=10 and d=52.
This code was found by Heurico 1.16 in 0 seconds.