The generator matrix

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

generates a code of length 45 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+6x^44+40x^45+4x^46+8x^47+1x^48+2x^50+2x^54

The gray image is a code over GF(2) with n=180, k=6 and d=88.
This code was found by Heurico 1.16 in 0.0184 seconds.