The generator matrix

 1  0  1  1  1  0  1  1  1  X  1 X+2  X  X  1  1  1  1
 0  1  1  0 X+1  1  X X+3 X+2  1  3  1  2  X  0  0  0  0
 0  0  X X+2  0 X+2  X X+2  0 X+2  2  0  X  X  0  0  0  0
 0  0  0  2  0  0  0  0  0  0  2  2  0  2  0  2  0  0
 0  0  0  0  2  0  0  0  0  0  2  0  2  2  2  2  0  0
 0  0  0  0  0  2  0  0  0  2  0  0  2  2  2  0  2  2
 0  0  0  0  0  0  2  0  0  0  2  2  2  0  0  2  2  0
 0  0  0  0  0  0  0  2  0  2  2  2  2  2  0  0  0  2
 0  0  0  0  0  0  0  0  2  2  2  0  0  2  0  2  0  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+38x^10+8x^11+133x^12+136x^13+648x^14+1096x^15+1657x^16+2824x^17+3236x^18+2904x^19+1666x^20+1112x^21+648x^22+88x^23+118x^24+24x^25+38x^26+9x^28

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 0.834 seconds.