The generator matrix

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

generates a code of length 95 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+78x^84+100x^86+16x^87+307x^88+92x^89+232x^90+128x^91+412x^92+160x^93+436x^94+224x^95+502x^96+184x^97+316x^98+128x^99+305x^100+64x^101+152x^102+16x^103+96x^104+12x^105+44x^106+54x^108+19x^112+14x^116+3x^120+1x^148

The gray image is a code over GF(2) with n=380, k=12 and d=168.
This code was found by Heurico 1.16 in 2.96 seconds.