The generator matrix
1 1 1 1 1 1 1 1 X 1 X
0 2X+2 0 0 0 2 2X+2 2 2X+2 0 2X
0 0 2X+2 0 2 2 2 2X 2 0 2
0 0 0 2X+2 2 2X 2X+2 2X+2 2 0 0
0 0 0 0 2X 2X 2X 2X 0 2X 0
generates a code of length 11 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 7.
Homogenous weight enumerator: w(x)=1x^0+26x^7+60x^8+90x^9+202x^10+1300x^11+188x^12+100x^13+52x^14+18x^15+7x^16+2x^17+2x^18
The gray image is a code over GF(2) with n=88, k=11 and d=28.
This code was found by Heurico 1.16 in 0.016 seconds.