The generator matrix

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

generates a code of length 18 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+80x^14+142x^16+256x^17+96x^18+256x^19+96x^20+80x^22+16x^24+1x^32

The gray image is a code over GF(2) with n=72, k=10 and d=28.
This code was found by Heurico 1.16 in 0.0246 seconds.