The generator matrix

 1  0  1  1  1 X+2  1  1  0  1  1 X+2  0  1  1 X+2  1  1  X  1  1  1  1  0  1  1  0 X+2  1  1  1  1  0  1 X+2  1  0  1  1  1  2 X+2  1  1  1 X+2  1 X+2  1  1  0  1  1  1  1 X+2  1  1  0  1  1  0  1  1  X  1  X  1  X  1  1  1  1  X  X  2  1  1  1  1  1  1  1  1  1  X  0  1  X  1  1  1  1  1  X
 0  1 X+1 X+2  1  1  0 X+1  1 X+2  3  1  1 X+2 X+1  1  3  0  1  2 X+1 X+3 X+2  1  3  0  1  1 X+2  3 X+2  3  1 X+1  1  0  1  0  3 X+2  1  1 X+1  2 X+3  1  1  1 X+2  0  1  3  0  X  X  1  0 X+1  1  1  X  1 X+1 X+2  1  3  1  1  1 X+1  3  2  0  1  1  1 X+2  0  1  3 X+2 X+2 X+3  X X+1  1  1 X+2  1  X X+1  3  3 X+1  0
 0  0  2  0  0  0  0  0  0  0  0  0  0  0  2  0  0  0  0  0  2  2  2  2  2  2  0  2  2  2  2  0  2  2  2  0  2  0  0  2  2  0  0  0  2  0  2  2  0  0  0  0  2  2  0  2  0  0  2  0  2  0  2  2  0  0  0  2  0  2  2  2  0  0  2  0  2  0  2  2  0  0  0  0  2  0  2  2  0  0  2  2  2  2  2
 0  0  0  2  0  0  0  0  0  0  0  0  0  2  0  2  2  2  2  2  0  0  2  2  2  2  0  2  2  2  0  0  2  2  0  2  0  2  2  0  0  2  0  2  0  0  0  0  2  0  2  2  0  2  0  0  0  2  2  0  2  0  2  0  0  0  0  0  2  0  2  2  2  0  0  2  0  0  0  2  2  0  2  2  0  2  2  0  0  2  2  0  2  0  2
 0  0  0  0  2  0  0  0  0  0  0  2  2  0  0  2  2  0  0  0  2  2  0  0  2  0  2  2  2  0  2  0  2  2  0  2  2  0  2  0  0  0  2  2  0  0  0  2  2  0  2  2  2  0  2  0  2  0  0  0  2  2  2  0  2  2  2  2  0  2  0  0  0  2  0  2  0  0  0  2  2  2  0  2  2  0  2  2  0  0  0  2  0  0  0
 0  0  0  0  0  2  0  0  0  0  2  2  2  0  2  0  2  0  0  0  0  2  0  2  0  0  0  2  0  0  0  2  2  0  2  2  2  2  0  2  2  2  0  0  0  2  0  0  0  0  2  0  2  2  2  2  2  0  0  0  0  0  0  2  2  2  0  2  2  0  2  0  2  2  2  0  0  0  0  2  0  2  0  2  2  0  2  2  2  2  2  2  2  2  0
 0  0  0  0  0  0  2  0  0  2  2  0  0  2  2  0  2  0  0  2  0  2  2  2  0  0  2  0  2  2  0  0  2  2  0  0  0  2  0  2  2  2  2  2  2  2  0  2  2  0  0  0  2  0  2  0  0  2  2  0  0  0  2  0  0  2  2  0  0  2  2  0  0  2  0  2  2  0  2  0  2  2  2  0  2  0  0  0  2  0  0  0  0  0  2
 0  0  0  0  0  0  0  2  0  2  0  0  0  2  2  2  0  2  2  2  2  0  2  0  0  2  0  0  0  0  0  2  0  2  0  2  0  0  0  0  0  2  2  0  2  2  2  0  2  0  0  0  2  2  0  2  2  0  2  0  2  2  0  2  2  0  0  2  0  0  2  2  2  0  2  2  0  2  2  0  0  0  2  0  2  0  2  0  2  2  2  2  0  0  0
 0  0  0  0  0  0  0  0  2  0  2  2  0  0  2  0  2  2  2  2  2  0  0  2  2  0  2  0  0  2  2  0  2  0  0  2  2  0  0  0  0  2  0  0  2  2  0  0  0  2  0  2  2  0  0  2  0  2  0  2  2  0  2  2  0  2  0  0  0  2  0  2  2  0  0  2  2  0  0  0  2  2  0  0  2  2  2  0  0  0  2  2  2  0  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+81x^84+174x^86+632x^88+826x^90+1126x^92+1272x^94+1370x^96+1040x^98+852x^100+490x^102+227x^104+38x^106+26x^108+19x^112+7x^116+5x^120+4x^124+2x^128

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 7.11 seconds.