The generator matrix

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

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+241x^66+487x^68+490x^70+299x^72+209x^74+133x^76+85x^78+60x^80+30x^82+12x^84+1x^86

The gray image is a code over GF(2) with n=284, k=11 and d=132.
This code was found by Heurico 1.16 in 0.35 seconds.