The generator matrix

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

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+122x^66+169x^68+126x^70+46x^72+22x^74+17x^76+2x^78+5x^80+1x^84+1x^92

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 0.215 seconds.