The generator matrix

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

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+165x^64+208x^65+292x^66+168x^67+264x^68+148x^69+206x^70+92x^71+145x^72+60x^73+112x^74+16x^75+47x^76+60x^77+22x^78+12x^79+17x^80+4x^81+8x^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 0.327 seconds.