The generator matrix

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

generates a code of length 67 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+123x^62+96x^63+143x^64+124x^66+64x^67+120x^68+132x^70+96x^71+112x^72+4x^74+8x^76+1x^126

The gray image is a code over GF(2) with n=268, k=10 and d=124.
This code was found by Heurico 1.16 in 0.189 seconds.