The generator matrix

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

generates a code of length 69 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+134x^66+141x^68+108x^70+112x^72+7x^74+1x^76+6x^78+1x^80+1x^130

The gray image is a code over GF(2) with n=276, k=9 and d=132.
This code was found by Heurico 1.16 in 0.159 seconds.