The generator matrix

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

generates a code of length 54 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+155x^44+30x^46+276x^48+112x^50+256x^51+356x^52+768x^53+220x^54+768x^55+355x^56+256x^57+128x^58+232x^60+22x^62+110x^64+40x^68+9x^72+1x^76+1x^80

The gray image is a code over GF(2) with n=216, k=12 and d=88.
This code was found by Heurico 1.16 in 39.6 seconds.