The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  X  1  1  1  0  1  1  2  X  1  1  X  1  1  2  1  1  1  1  1  1  0  X  1  2  1  1  1 X+2  1  1  2  1  1  1  1 X+2  1  0  1  1  0  1  0  1 X+2  1  1  1  1 X+2  X  1  X  1  0  1  1  X  X  1
 0  1  1 X+2 X+3  1  0 X+1  1  X  1  3  X X+1  1  2  3  1  1 X+2  1  1  0 X+3  1  1  0  3 X+2 X+3  X  1  1  3  1  3 X+1 X+2  1 X+2  2  1  X X+1 X+1 X+2  1  1  1 X+2 X+3  1  2  1 X+2  1 X+3  3 X+2 X+1  1  X  3  1  2  1  3 X+1  2  0  0
 0  0  X  0 X+2  0 X+2  2  X  X  X  2 X+2  0  2 X+2  2 X+2  X  0 X+2  2  0  X  0  X  2 X+2  0 X+2  2  0  X  2 X+2  2  0  2  0  X  X  X  X  X  2  0  0  0  2  X  X X+2  0  0 X+2  X  0  0  2  X  2  X  0  2  X  X X+2  0 X+2 X+2  2
 0  0  0  2  0  0  0  2  2  0  2  0  0  2  0  0  0  0  0  2  0  2  0  2  2  2  0  2  2  0  2  2  0  2  0  2  2  0  0  2  0  0  2  2  2  0  0  0  2  2  2  0  2  2  0  0  0  0  0  0  2  0  2  0  2  2  0  2  2  0  0
 0  0  0  0  2  0  0  0  0  2  0  0  0  0  2  2  0  2  2  2  2  2  2  2  2  0  2  0  0  0  2  0  2  0  2  2  2  2  2  0  0  0  0  0  0  0  0  2  0  0  2  2  2  0  2  0  2  0  2  2  2  0  0  2  2  2  2  2  2  0  2
 0  0  0  0  0  2  0  0  0  0  0  2  0  0  0  0  2  2  2  0  2  0  0  2  2  2  0  2  2  2  2  0  0  2  0  2  2  2  2  2  2  0  0  0  2  2  2  2  2  2  0  0  0  0  0  0  2  0  2  2  2  2  2  0  0  2  2  0  2  0  2
 0  0  0  0  0  0  2  0  2  0  0  0  0  2  0  2  2  0  2  2  2  2  0  0  2  0  2  2  0  0  0  0  2  2  0  2  0  0  2  2  0  2  2  0  0  2  2  0  0  0  0  2  0  2  2  0  0  0  2  2  2  2  2  0  2  2  0  0  2  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+187x^64+84x^65+372x^66+108x^67+594x^68+236x^69+492x^70+180x^71+474x^72+236x^73+364x^74+84x^75+322x^76+84x^77+158x^78+12x^79+56x^80+14x^82+18x^84+6x^86+10x^88+2x^90+2x^92

The gray image is a code over GF(2) with n=284, k=12 and d=128.
This code was found by Heurico 1.16 in 1.48 seconds.