The generator matrix

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

generates a code of length 18 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+68x^10+64x^11+242x^12+326x^13+702x^14+1082x^15+1787x^16+2606x^17+2578x^18+2642x^19+1814x^20+1106x^21+694x^22+302x^23+244x^24+58x^25+50x^26+6x^27+8x^28+4x^30

The gray image is a code over GF(2) with n=72, k=14 and d=20.
This code was found by Heurico 1.16 in 1.54 seconds.