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

generates a code of length 73 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+158x^66+244x^68+303x^70+344x^72+391x^74+272x^76+148x^78+76x^80+66x^82+20x^84+21x^86+2x^88+1x^90+1x^112

The gray image is a code over GF(2) with n=292, k=11 and d=132.
This code was found by Heurico 1.16 in 7.4 seconds.