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

generates a code of length 99 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+118x^88+90x^90+275x^92+316x^94+586x^96+692x^98+751x^100+500x^102+371x^104+142x^106+111x^108+48x^110+51x^112+4x^114+25x^116+7x^120+5x^124+2x^128+1x^156

The gray image is a code over GF(2) with n=396, k=12 and d=176.
This code was found by Heurico 1.16 in 3.23 seconds.