The generator matrix

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

generates a code of length 18 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+114x^15+134x^16+216x^17+141x^18+220x^19+82x^20+56x^21+18x^22+34x^23+7x^24+1x^26

The gray image is a code over GF(2) with n=72, k=10 and d=30.
This code was found by Heurico 1.11 in 0.038 seconds.