The generator matrix

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

generates a code of length 12 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+49x^6+124x^7+392x^8+1104x^9+1544x^10+3372x^11+3186x^12+3392x^13+1566x^14+1108x^15+383x^16+112x^17+40x^18+4x^19+6x^20+1x^22

The gray image is a code over GF(2) with n=48, k=14 and d=12.
This code was found by Heurico 1.16 in 0.29 seconds.