The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  1  X  1  1  X  X  1  1  0  1  1  0  1  1 X+2  1  1  1  1  1  2  1 X+2  1  1  1  1  2  1  1  X  1  1  1  X  0  1  1  0 X+2  0  1  0  0  1  1  1  1 X+2  0  1  1  1  1 X+2  1  1  X  1  1  X
 0  1  1  0 X+3  1 X+1 X+2  1  2  3  1  X X+3  1  1  1  X  1  1 X+2  1  0 X+1  1 X+2  1  2 X+1  3  1 X+1  1  X  1  0 X+3  1  1  X  1  2  X X+3  1  1  3 X+3  1  1  1  X  1  1 X+2 X+1  X  1  1  1 X+2  3  2 X+3  1 X+3 X+1  X  0  3  0
 0  0  X  0 X+2  0  2  2  X X+2  0 X+2 X+2  2  0  X X+2  0 X+2  2 X+2  0  X X+2 X+2  0  2 X+2  2  0 X+2  2  2  X  X  0  X  0  2  X  0  0  X  0 X+2  2  2 X+2  0  X X+2  X  2 X+2  2  0  2  0  X X+2  0  2  X X+2  0 X+2  X X+2 X+2  2  0
 0  0  0  X  0  0  0  2  2  2  2  0  2 X+2 X+2  X X+2 X+2  X X+2 X+2  X X+2 X+2 X+2  2  X  2 X+2  0  0  0  0  X  2  2 X+2 X+2  2  0  X X+2 X+2  X  0  X  0  0 X+2 X+2  X  2  0  2 X+2  X  2  2  2  X  0  0  0 X+2 X+2  2  0  2  2  X  2
 0  0  0  0  2  0  0  0  2  2  0  2  2  0  0  2  2  0  2  0  2  0  2  0  0  2  2  0  2  2  0  2  2  0  0  2  0  2  2  0  0  2  0  0  0  0  2  0  2  2  0  2  2  2  0  2  0  0  2  2  2  2  0  2  0  2  2  0  2  2  0
 0  0  0  0  0  2  2  2  0  2  0  2  0  0  2  2  0  2  0  2  2  0  0  0  0  2  0  2  2  0  0  2  0  0  2  2  2  2  2  0  0  2  2  2  2  2  0  0  0  0  0  0  2  0  0  2  0  2  0  2  0  2  0  2  0  2  2  2  0  2  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+146x^64+108x^65+350x^66+268x^67+464x^68+256x^69+422x^70+256x^71+363x^72+300x^73+362x^74+236x^75+237x^76+104x^77+110x^78+8x^79+34x^80+24x^82+26x^84+12x^86+7x^88+1x^92+1x^96

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 1.18 seconds.