The generator matrix

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

generates a code of length 75 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+42x^64+84x^65+254x^66+326x^67+461x^68+674x^69+782x^70+984x^71+1237x^72+1304x^73+1342x^74+1460x^75+1435x^76+1370x^77+1178x^78+1040x^79+733x^80+528x^81+383x^82+238x^83+191x^84+114x^85+76x^86+40x^87+43x^88+20x^89+10x^90+8x^91+17x^92+2x^93+4x^94+3x^98

The gray image is a code over GF(2) with n=300, k=14 and d=128.
This code was found by Heurico 1.16 in 17.3 seconds.