The generator matrix

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

generates a code of length 73 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 67.

Homogenous weight enumerator: w(x)=1x^0+70x^67+178x^68+204x^69+176x^70+194x^71+196x^72+176x^73+175x^74+144x^75+123x^76+132x^77+114x^78+60x^79+27x^80+28x^81+22x^82+6x^83+2x^84+5x^86+2x^87+4x^89+2x^90+4x^91+1x^92+1x^94+1x^98

The gray image is a code over GF(2) with n=292, k=11 and d=134.
This code was found by Heurico 1.16 in 0.478 seconds.