The generator matrix
1 0 1 1 1 2 1 1 1 1 1 1 1 0 1 1
0 1 1 0 X+1 1 0 X+1 2 X X+1 X 0 X X 0
0 0 X 0 X 2 X 2 X X+2 0 0 X+2 X X 0
0 0 0 X X X+2 X+2 2 2 0 2 X+2 X X+2 X 0
generates a code of length 16 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 12.
Homogenous weight enumerator: w(x)=1x^0+50x^12+68x^13+115x^14+204x^15+189x^16+164x^17+103x^18+68x^19+46x^20+8x^21+5x^22+2x^24+1x^26
The gray image is a code over GF(2) with n=64, k=10 and d=24.
This code was found by Heurico 1.16 in 0.00899 seconds.