The generator matrix

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

generates a code of length 75 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+89x^66+352x^67+542x^68+792x^69+1011x^70+1072x^71+1212x^72+1256x^73+1295x^74+1446x^75+1413x^76+1224x^77+1048x^78+940x^79+840x^80+634x^81+494x^82+306x^83+173x^84+110x^85+52x^86+34x^87+11x^88+14x^89+10x^90+8x^91+2x^93+1x^94+2x^95

The gray image is a code over GF(2) with n=300, k=14 and d=132.
This code was found by Heurico 1.13 in 5.23 seconds.