The generator matrix

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

generates a code of length 71 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+142x^66+130x^68+272x^70+230x^72+154x^74+22x^76+54x^78+16x^82+2x^86+1x^128

The gray image is a code over GF(2) with n=284, k=10 and d=132.
This code was found by Heurico 1.16 in 65.9 seconds.