The generator matrix

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

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+84x^63+222x^64+148x^65+120x^66+196x^67+235x^68+188x^69+96x^70+172x^71+214x^72+156x^73+40x^74+60x^75+69x^76+20x^77+18x^80+7x^84+1x^92+1x^96

The gray image is a code over GF(2) with n=276, k=11 and d=126.
This code was found by Heurico 1.16 in 1 seconds.