The generator matrix

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

generates a code of length 54 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 47.

Homogenous weight enumerator: w(x)=1x^0+174x^47+246x^48+514x^49+568x^50+714x^51+680x^52+930x^53+743x^54+918x^55+619x^56+728x^57+395x^58+432x^59+223x^60+122x^61+73x^62+56x^63+18x^64+10x^65+9x^66+10x^67+5x^68+4x^70

The gray image is a code over GF(2) with n=216, k=13 and d=94.
This code was found by Heurico 1.16 in 3.22 seconds.