The generator matrix

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

generates a code of length 51 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+64x^45+322x^46+274x^47+519x^48+318x^49+522x^50+290x^51+477x^52+322x^53+354x^54+140x^55+228x^56+84x^57+104x^58+26x^59+22x^60+10x^61+8x^62+6x^63+2x^65+2x^66+1x^68

The gray image is a code over GF(2) with n=204, k=12 and d=90.
This code was found by Heurico 1.16 in 0.587 seconds.