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

generates a code of length 67 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+131x^64+140x^66+148x^68+48x^70+31x^72+4x^74+4x^76+3x^80+1x^88+1x^96

The gray image is a code over GF(2) with n=268, k=9 and d=128.
This code was found by Heurico 1.16 in 0.146 seconds.