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

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+139x^84+338x^86+24x^87+511x^88+144x^89+619x^90+164x^91+728x^92+492x^93+901x^94+388x^95+778x^96+508x^97+699x^98+172x^99+532x^100+132x^101+319x^102+20x^103+229x^104+4x^105+133x^106+132x^108+55x^110+16x^112+5x^114+5x^116+3x^118+1x^144

The gray image is a code over GF(2) with n=380, k=13 and d=168.
This code was found by Heurico 1.16 in 10.1 seconds.