The generator matrix

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

generates a code of length 16 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+60x^9+172x^10+270x^11+422x^12+894x^13+1826x^14+2846x^15+3335x^16+2902x^17+1850x^18+922x^19+442x^20+234x^21+118x^22+58x^23+24x^24+6x^25+2x^26

The gray image is a code over GF(2) with n=64, k=14 and d=18.
This code was found by Heurico 1.16 in 9.52 seconds.