The generator matrix

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

generates a code of length 72 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+106x^65+230x^66+282x^67+293x^68+334x^69+378x^70+382x^71+319x^72+308x^73+320x^74+296x^75+308x^76+162x^77+128x^78+102x^79+27x^80+40x^81+26x^82+20x^83+7x^84+8x^85+6x^86+4x^87+3x^88+2x^89+2x^91+2x^96

The gray image is a code over GF(2) with n=288, k=12 and d=130.
This code was found by Heurico 1.16 in 60.6 seconds.