The generator matrix

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

generates a code of length 18 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 11.

Homogenous weight enumerator: w(x)=1x^0+90x^11+230x^12+298x^13+593x^14+1136x^15+1653x^16+2560x^17+3180x^18+2580x^19+1768x^20+1156x^21+566x^22+288x^23+178x^24+80x^25+12x^26+2x^27+10x^28+2x^29+1x^30

The gray image is a code over GF(2) with n=72, k=14 and d=22.
This code was found by Heurico 1.16 in 3.96 seconds.