The generator matrix

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

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+25x^10+32x^11+71x^12+128x^13+317x^14+832x^15+177x^16+2080x^17+850x^18+2080x^19+206x^20+832x^21+322x^22+128x^23+46x^24+32x^25+21x^26+11x^28+1x^30

The gray image is a code over GF(2) with n=72, k=13 and d=20.
This code was found by Heurico 1.16 in 0.362 seconds.