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

generates a code of length 71 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+36x^64+74x^65+185x^66+146x^67+206x^68+132x^69+238x^70+118x^71+222x^72+100x^73+178x^74+94x^75+158x^76+68x^77+30x^78+26x^79+13x^80+10x^81+2x^82+3x^84+2x^86+2x^90+2x^94+1x^98+1x^100

The gray image is a code over GF(2) with n=284, k=11 and d=128.
This code was found by Heurico 1.16 in 0.41 seconds.