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  2 X+2  1  1  1  1  1 X+2  1  1 X+2  1  1  1  0  1  0  1  1  0  1  1  1 X+2  1  X  1  2  1  X  1  2  1 X+2  1  X  1  1  1  0  1  1  1  0  2  1  1  2  0 X+2  1  1  1  1  0  1  1  1  1  1  1  X  0
 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  1  X  1 X+1  1  0  1  1 X+2 X+1  0  0  3  1  0 X+1  1  3  0  3  1 X+2  1  X  X  1  3  3 X+2  1 X+1  1  1  1 X+2  1 X+3  1  X  1  2  1  X X+1  1  1  3  X  3  1  1  2  X  1  1  1  2 X+3 X+1  0  1  3  0  X  1 X+2 X+3  0  X
 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  0  0  2  2  2  0  2  2  0  0  0  2  2  2  0  2  0  2  0  0  2  0  0  2  2  2  0  2  2  0  0  0  2  2  2  0  0  2  2  0  2  2  0  0  0  0  0  2  0  2  0  2  2  0  2  2  2  2  0  0  2  0  0  2  0  0  0  0  0
 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  2  2  0  0  2  0  0  2  0  0  2  0  2  0  2  2  0  0  2  2  0  0  0  2  2  0  2  0  2  2  0  0  0  2  0  2  2  2  2  0  0  2  0  2  2  2  2  2  0  2  2  2  0  2  0  2  2  0  2  0  2  2  2  2  0  0  2  0  0
 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  0  2  2  2  0  0  0  0  2  0  0  2  2  0  2  2  2  2  2  2  0  0  0  2  2  0  2  2  2  2  2  0  2  0  0  2  0  2  2  2  0  0  2  0  2  2  2  0  0  0  0  0  2  0  0  2  2  2  0  0  2  2  0  0  2  0  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  2  0  2  0  0  2  0  2  0  2  2  2  0  2  2  0  2  2  2  0  0  0  0  0  0  2  0  2  2  2  2  2  2  2  2  0  0  0  2  2  2  0  0  2  2  0  0  2  0  0  0  2  2  0  0  0  2  0  2  2  2  2  2  2  2  2  0  0  2
 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  2  2  2  0  2  2  2  2  0  0  2  0  2  0  0  2  2  0  2  0  0  2  0  2  2  0  0  0  0  2  2  0  0  0  0  2  0  2  0  2  0  2  0  0  2  2  2  2  2  0  2  2  2  0  0  0  0  0  0  2  2  2  0  0  0  0  2  0
 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  0  2  0  2  2  2  2  2  2  2  2  2  0  2  0  2  0  0  2  2  0  0  2  2  0  0  0  0  0  0  2  0  2  2  0  0  0  2  2  0  0  2  2  2  0  2  2  0  0  0  0  2  0  0  2  2  2  0  0  0  2  0  2  2  2  0  0  2
 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  0  2  0  0  2  0  0  0  0  0  0  0  0  0  2  2  2  2  0  2  2  2  0  2  0  2  2  0  0  2  0  2  2  2  0  2  2  2  2  0  2  0  0  2  0  0  0  2  0  0  2  2  0  2  2  0  0  2  0  0  0  2  2  0  2  0  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+83x^88+4x^89+190x^90+96x^91+472x^92+236x^93+454x^94+376x^95+729x^96+544x^97+688x^98+600x^99+678x^100+496x^101+640x^102+360x^103+566x^104+252x^105+290x^106+104x^107+203x^108+4x^109+42x^110+46x^112+13x^116+11x^120+9x^124+4x^128+1x^132

The gray image is a code over GF(2) with n=396, k=13 and d=176.
This code was found by Heurico 1.16 in 7.62 seconds.