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

generates a code of length 98 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+114x^86+184x^88+38x^90+76x^92+408x^94+818x^96+972x^98+680x^100+365x^102+189x^104+46x^106+12x^108+79x^110+71x^112+25x^118+15x^120+1x^126+1x^128+1x^160

The gray image is a code over GF(2) with n=392, k=12 and d=172.
This code was found by Heurico 1.16 in 25.5 seconds.