The generator matrix

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

generates a code of length 73 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+32x^68+126x^69+76x^70+250x^71+56x^72+136x^73+23x^74+118x^75+16x^76+72x^77+19x^78+42x^79+21x^80+16x^81+2x^83+2x^85+4x^86+4x^87+2x^88+4x^90+1x^98+1x^102

The gray image is a code over GF(2) with n=292, k=10 and d=136.
This code was found by Heurico 1.16 in 0.3 seconds.