The generator matrix

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

generates a code of length 69 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+113x^64+252x^65+300x^66+228x^67+210x^68+192x^69+96x^70+172x^71+131x^72+76x^73+66x^74+40x^75+49x^76+36x^77+32x^78+24x^79+23x^80+4x^81+2x^82+1x^84

The gray image is a code over GF(2) with n=276, k=11 and d=128.
This code was found by Heurico 1.16 in 0.321 seconds.