The generator matrix

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

generates a code of length 73 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+70x^70+72x^71+133x^72+16x^73+136x^74+24x^75+14x^76+18x^78+16x^79+10x^84+1x^88+1x^96

The gray image is a code over GF(2) with n=292, k=9 and d=140.
This code was found by Heurico 1.13 in 0.094 seconds.