The generator matrix

 1  0  0  0  1  1  1  X X+2  1  1  1 X+2  0  1  0  2  1  1  0  2  1  1  X  1  1 X+2  0  1  1  1 X+2  1  2  1  1 X+2  1  1  X  1 X+2  1  2  1  0  1  X  2  2 X+2  0  0  1  1  1 X+2  0  1  1  1  1  0  1  2  1  1  2  2  1 X+2  0  1 X+2  1
 0  1  0  0  X  0 X+2 X+2  1  3  3  3  1  1 X+1 X+2  1 X+3  2  1  1  0 X+1  1 X+3  0  X  1 X+1  0 X+3  0 X+2  1  1  3  2  2 X+2  1 X+1  0  2  0  X  1  X  1  0  X  1  1  X  X  X X+1  1 X+2 X+1  1 X+3  1  1  3  X X+2  X  1 X+2  X  1  1  3  1  0
 0  0  1  0  X  1 X+3  1  3 X+2  3  2  0 X+3  1  1  0  0  X  1  X  X X+3 X+3  1 X+3 X+2  0  2 X+1  0  1  1 X+2 X+1  1  1  0  1  3 X+2  X  0  1  1 X+2  2 X+2  1  1 X+2  X  2 X+2  3  0  3  1  X  2 X+3  1 X+1  0  1 X+3 X+3 X+1  1  3 X+3  X X+3  2  0
 0  0  0  1 X+1  1  X X+3  0  2  0 X+3 X+3 X+1  3  0 X+2 X+2 X+2  0  1 X+3 X+1  3  2  1  1  1 X+3  X  2  X X+1  X X+3 X+2  3  X  2  2  3  1 X+3  0  0 X+3  0 X+2  X X+3 X+2 X+3  1  3  X  3 X+1  2  2  X  X X+1  3  0 X+1  1  2  1  3 X+2  2  0 X+3  2  0
 0  0  0  0  2  0  2  2  2  2  0  0  2  0  2  0  0  2  0  2  2  2  2  0  0  0  0  2  2  0  0  2  2  2  0  2  2  2  2  0  0  2  0  2  0  0  0  2  0  0  0  0  2  0  2  0  0  2  2  0  0  0  2  2  2  0  0  2  0  2  0  0  2  2  0
 0  0  0  0  0  2  2  2  2  0  2  0  0  2  2  2  2  2  2  0  2  2  0  0  0  0  2  0  2  0  2  2  2  0  0  2  0  2  0  2  2  2  2  0  2  2  0  2  2  2  0  0  0  0  2  0  0  2  2  0  2  2  0  2  0  0  2  2  0  0  0  2  2  2  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+107x^66+306x^67+659x^68+704x^69+994x^70+1124x^71+1232x^72+1126x^73+1414x^74+1306x^75+1423x^76+1162x^77+1268x^78+910x^79+839x^80+630x^81+433x^82+294x^83+243x^84+72x^85+64x^86+26x^87+16x^88+16x^89+6x^90+2x^91+3x^92+2x^93+2x^94

The gray image is a code over GF(2) with n=300, k=14 and d=132.
This code was found by Heurico 1.16 in 14 seconds.