The generator matrix

 1  0  0  0  1  1  1  2  1  1  1  0 X+2  1 X+2  1  1  1  1 X+2  0  X  1  X X+2  1  2  1  1  1  1  1 X+2  2  X  1 X+2  1  1  1  X  1  0  1  2 X+2  1  0  1  1  1 X+2  1  1  1  1  1  0  0  2  X  1 X+2  1  2  1  0  1  1  1  1  X  1
 0  1  0  0  X  X X+2  0  1  3  3  1  1  1  1 X+2  2  0  1  1  X  1 X+1  0  X  0  1 X+3  X  X  3 X+1  1  1  2  1  1  3 X+2  2  1 X+2  1 X+1  1  1  3  1 X+2 X+1  0  1  2  2  X  0  1 X+2  1  X  X  3  2 X+3  2 X+3  0 X+1  0  1  X X+2  3
 0  0  1  0  X X+3 X+3  1 X+1 X+2  0  X  1  3 X+1  2 X+1 X+3 X+2  0  1 X+1  X  1  0  2 X+3 X+1  0 X+2  2  X X+3  2  1  1  X  3 X+3  0 X+2  1  1  2  3  0 X+2  2 X+1 X+1  0  0 X+3  3 X+2 X+1 X+2  1 X+1 X+2  0 X+3  1 X+1  1  X  1  2 X+1  2  1  1  2
 0  0  0  1 X+1 X+3  X  3  X X+2 X+1  3  3 X+3  0 X+2 X+1  2  3 X+3  0  X  0  1  1  1 X+2  1  0  1  2  3  3  3 X+2  X X+2 X+3  1 X+3  1  3 X+3  1  2  0  2 X+1  X X+2 X+2  X  3  3 X+1  3 X+3  3  1  1  1 X+1  2 X+3  X X+1  X  1  2  0 X+3  3  X
 0  0  0  0  2  2  2  0  2  2  2  0  0  2  0  2  2  2  2  0  0  0  2  0  0  2  0  2  2  0  0  0  2  2  2  0  2  0  0  0  2  0  2  0  2  2  0  2  0  0  0  2  0  2  0  2  0  2  0  2  2  2  0  0  2  0  0  2  0  0  2  2  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+248x^66+404x^67+611x^68+560x^69+709x^70+760x^71+846x^72+636x^73+581x^74+632x^75+532x^76+396x^77+338x^78+264x^79+296x^80+92x^81+125x^82+76x^83+45x^84+12x^85+15x^86+8x^87+3x^88+2x^92

The gray image is a code over GF(2) with n=292, k=13 and d=132.
This code was found by Heurico 1.13 in 1.97 seconds.