The generator matrix

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

generates a code of length 67 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+78x^61+155x^62+192x^63+190x^64+188x^65+180x^66+168x^67+214x^68+172x^69+131x^70+134x^71+93x^72+48x^73+46x^74+22x^75+5x^76+8x^77+10x^79+2x^80+2x^83+6x^84+2x^85+1x^92

The gray image is a code over GF(2) with n=268, k=11 and d=122.
This code was found by Heurico 1.16 in 0.386 seconds.