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

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+13x^66+79x^68+167x^70+318x^72+269x^74+67x^76+49x^78+12x^80+10x^82+34x^84+4x^86+1x^136

The gray image is a code over GF(2) with n=292, k=10 and d=132.
This code was found by Heurico 1.16 in 0.341 seconds.