The generator matrix

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

generates a code of length 54 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+44x^45+143x^46+382x^47+537x^48+830x^49+837x^50+1426x^51+1328x^52+1978x^53+1517x^54+1880x^55+1348x^56+1434x^57+894x^58+838x^59+320x^60+302x^61+165x^62+80x^63+40x^64+16x^65+21x^66+8x^68+4x^69+7x^70+2x^71+2x^72

The gray image is a code over GF(2) with n=216, k=14 and d=90.
This code was found by Heurico 1.16 in 9.32 seconds.