The generator matrix
1 1 1 1 1 1 1 1 2 1
0 2X+2 0 0 0 2 2X+2 2X 2 0
0 0 2X+2 0 2 2 2 2X 0 0
0 0 0 2X+2 2 2X 2X+2 0 2 0
0 0 0 0 2X 2X 2X 2X 2X 2X
generates a code of length 10 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 6.
Homogenous weight enumerator: w(x)=1x^0+33x^6+36x^7+56x^8+480x^9+839x^10+472x^11+68x^12+32x^13+23x^14+4x^15+3x^16+1x^18
The gray image is a code over GF(2) with n=80, k=11 and d=24.
This code was found by Heurico 1.16 in 0.016 seconds.