The generator matrix

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

generates a code of length 75 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+39x^68+214x^69+244x^70+458x^71+311x^72+510x^73+301x^74+456x^75+161x^76+326x^77+176x^78+276x^79+141x^80+162x^81+84x^82+104x^83+47x^84+36x^85+20x^86+18x^87+3x^88+5x^90+1x^92+2x^98

The gray image is a code over GF(2) with n=300, k=12 and d=136.
This code was found by Heurico 1.16 in 1.07 seconds.