The generator matrix

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

generates a code of length 73 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+58x^69+196x^70+210x^71+151x^72+124x^73+39x^74+36x^75+30x^76+18x^77+23x^78+42x^79+60x^80+8x^81+1x^82+4x^84+16x^85+5x^86+2x^88

The gray image is a code over GF(2) with n=292, k=10 and d=138.
This code was found by Heurico 1.11 in 0.222 seconds.