The generator matrix

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

generates a code of length 69 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+158x^63+399x^64+280x^65+450x^66+402x^67+381x^68+350x^69+375x^70+218x^71+306x^72+154x^73+218x^74+114x^75+105x^76+54x^77+55x^78+32x^79+8x^80+22x^81+2x^82+4x^83+4x^85+4x^86

The gray image is a code over GF(2) with n=276, k=12 and d=126.
This code was found by Heurico 1.16 in 0.752 seconds.