The generator matrix

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

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+183x^62+138x^63+354x^64+92x^65+321x^66+114x^67+294x^68+72x^69+158x^70+46x^71+107x^72+20x^73+47x^74+14x^75+38x^76+8x^77+26x^78+8x^79+5x^80+1x^86+1x^88

The gray image is a code over GF(2) with n=268, k=11 and d=124.
This code was found by Heurico 1.16 in 0.303 seconds.