The generator matrix

 1  0  1  1  1  0  1  1  2  0  X  1
 0  1  1  0  1  1 X+1  3  1  1  X  0
 0  0  X  0  0  0  0  X  X X+2  2  0
 0  0  0  X  0 X+2  X  X  X  2 X+2  0
 0  0  0  0  X  0  X  2  X  X  2  0
 0  0  0  0  0  2  0  2  0  0  2  0
 0  0  0  0  0  0  2  0  0  2  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+105x^6+80x^7+302x^8+1168x^9+1636x^10+2848x^11+4140x^12+2848x^13+1534x^14+1168x^15+409x^16+80x^17+52x^18+12x^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 0.319 seconds.