The generator matrix

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

generates a code of length 76 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+102x^73+62x^74+118x^75+25x^76+88x^77+22x^78+48x^79+3x^80+16x^81+5x^82+10x^83+2x^84+6x^86+1x^92+2x^97+1x^98

The gray image is a code over GF(2) with n=304, k=9 and d=146.
This code was found by Heurico 1.16 in 86.9 seconds.