The generator matrix

 1  0  0  0  0  1  1  1  1  X  2  1  1  1  1  1
 0  1  0  0  0  0  3 X+1  1  1  1  3  1  2 X+2  0
 0  0  1  0  0  1 X+1  X  0  1  X  X  2  0 X+1  0
 0  0  0  1  0  1  X X+1  0  3  0  X X+3 X+1 X+2  0
 0  0  0  0  1  1  0  2 X+1  3  X  0  1  1  3  X
 0  0  0  0  0  X  X  X X+2  0  X  2  0  2 X+2  X

generates a code of length 16 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+68x^9+317x^10+1208x^11+3592x^12+8336x^13+15364x^14+23196x^15+26829x^16+23108x^17+15698x^18+8336x^19+3416x^20+1192x^21+300x^22+92x^23+18x^24+1x^26

The gray image is a code over GF(2) with n=64, k=17 and d=18.
This code was found by Heurico 1.13 in 24.4 seconds.