The generator matrix

 1  0  1  1  1  0  1  1  2  1  1  1  1  X  1  2  1  0
 0  1  1  0 X+1  1  0 X+1  1 X+2  2 X+3  3 X+2  1  1 X+3  X
 0  0  X  0  X  0  X  0  X  X X+2  0  0  X  2  2 X+2  X
 0  0  0  X  X X+2  X  0  0  X  2 X+2  2 X+2 X+2  X  2 X+2
 0  0  0  0  2  0  0  0  0  0  0  2  2  2  2  2  0  0
 0  0  0  0  0  2  0  0  2  2  2  0  0  2  2  2  0  0
 0  0  0  0  0  0  2  0  0  2  0  0  2  2  2  0  2  0
 0  0  0  0  0  0  0  2  2  2  2  0  2  2  0  0  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+26x^11+114x^12+276x^13+548x^14+1052x^15+1881x^16+2740x^17+3028x^18+2752x^19+2036x^20+1052x^21+492x^22+260x^23+62x^24+28x^25+28x^26+6x^27+2x^28

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 1.55 seconds.