The generator matrix

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

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+57x^6+32x^7+180x^8+480x^9+992x^10+1536x^11+1590x^12+1536x^13+1046x^14+480x^15+211x^16+32x^17+16x^18+2x^20+1x^22

The gray image is a code over GF(2) with n=48, k=13 and d=12.
This code was found by Heurico 1.16 in 0.107 seconds.