The generator matrix

 1  1  1  1  1  1  1  1  X  X  1
 0 2X+2  0 2X+2  0 2X 2X+2  2  0 2X  0
 0  0 2X  0  0 2X  0  0 2X 2X  0
 0  0  0 2X  0  0  0 2X 2X 2X  0
 0  0  0  0 2X 2X 2X 2X  0  0  0

generates a code of length 11 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+22x^8+32x^9+12x^10+384x^11+8x^12+32x^13+16x^14+1x^16+4x^18

The gray image is a code over GF(2) with n=88, k=9 and d=32.
This code was found by Heurico 1.16 in 0 seconds.