The generator matrix

 1  0  0  0  0  1  1  1  2  1  1  0  1 X+2  2  1  1  X  2  1  1 X+2  1  2  1  2  X  1  1  0  1  1  X X+2  0  1  1  1  2  2  1  1 X+2  1  1  1  1  2 X+2  2  1  1  1  1  X  1  1 X+2  2  1  1  1  1  1  1  1  0  1  1  1  0 X+2  0 X+2  1
 0  1  0  0  0  0  0  0  0  1  1  1 X+1  1  1 X+1  2  2  2  2  3  1  3  1 X+2  X  1  0  X  1 X+3  3  1  X  1 X+3 X+3 X+2  1  1  3  3  0  2  1  2 X+2  1  1 X+2 X+2 X+2  0 X+2  1  0  1 X+2  0  2 X+1 X+1 X+2  X  1 X+3  X X+3  0 X+1  1 X+2  X  2  0
 0  0  1  0  0  0  1  1  1  3  1  2  X X+3 X+1  0 X+1 X+2  1  2 X+3 X+3  2  X  2  1  3  3  0 X+1 X+1  X  2  2 X+2  X  3  0  2  1  3  3  1 X+1  1  X X+2  0  0  1 X+3  X X+3 X+2  3  2 X+2 X+2 X+2  3 X+2  3  2 X+3 X+3  3  X X+1  3  1  2  1  1  2  0
 0  0  0  1  0  1  1  0  3  2 X+1 X+3  0  1  X  3  1  1  3 X+1  0 X+2  2  3 X+2 X+2  3  0  0 X+2  1  3  X  2  X X+1  1 X+1  1 X+3  X  X X+1  2 X+3 X+1 X+3 X+2 X+1  1  1 X+2 X+3  0  3 X+3  0  1 X+2 X+3  2  X  X  2 X+1  X  1 X+1  X  3  3  0 X+1  1  0
 0  0  0  0  1  1  2  3  1  0 X+1 X+3  1  X X+3 X+2 X+3  3  X  X X+1  2 X+2  0 X+1 X+3  3  X  1  2  X X+3  3  1  0  2  0  3 X+1  0  X X+3 X+1  2  1  X  1  1 X+2  2  0  1  2  0  X X+2 X+1  0  1  1  2 X+1  0  0 X+2 X+2 X+1  1  2 X+2  2  1 X+2  0  0
 0  0  0  0  0  2  0  2  2  0  2  2  2  0  2  0  2  2  0  0  2  0  0  0  2  2  2  0  2  0  0  0  0  0  2  2  2  0  0  2  2  0  0  2  0  2  0  2  2  0  2  0  2  2  0  2  2  2  0  0  0  0  0  0  2  2  2  0  2  2  2  0  0  0  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+128x^64+482x^65+874x^66+1482x^67+1838x^68+2588x^69+3219x^70+3978x^71+4397x^72+5304x^73+5293x^74+5904x^75+5501x^76+5548x^77+4695x^78+4268x^79+3176x^80+2554x^81+1599x^82+1050x^83+699x^84+464x^85+234x^86+106x^87+58x^88+52x^89+18x^90+12x^91+10x^92+4x^94

The gray image is a code over GF(2) with n=300, k=16 and d=128.
This code was found by Heurico 1.13 in 71.3 seconds.