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  2  X  1  X  0  X  1  2  1  1  0  1  0  1  X  1  X  1  1  0  2  1  1  1  1  2  1  0  2  1  1  1  X  1  1  X  0  X  1  1  1  1  1  X  2  1  X  1  2  1  X  1  X  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  2  2  X  2  X  0  X  2  0  X  X X+2  2  0 X+2  2  2  2  0  X  2  0  0 X+2  2  X X+2  0  X X+2  0  X  X  X  X  0  X X+2  X  0  2 X+2  2 X+2  X  0 X+2  0  X X+2 X+2 X+2  2  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  0 X+2 X+2  0  0  X  X  X X+2  0  2  X  0  X  2  0  X  2  X  X X+2  0  2  2  2  0  X  2 X+2  X  0  2  0  2  X  X  0  2  X  0  X  2  2  2  0  2  2  0  0  2 X+2  X  X X+2
 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  X  X  0 X+2 X+2 X+2  0  0  2  X  0  2  0  0 X+2 X+2 X+2  X  2  2  2  X  2 X+2  0 X+2  2  2  X  2 X+2  0  0  2  2  X  2 X+2  0  2 X+2  2  2  0  0  X X+2  X  2  X  2  X  X
 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  0  0  0  0  0  2  2  2  0  2  2  2  2  0  0  0  2  0  0  0  2  2  0  2  0  2  2  2  0  2  2  0  2  0  0  0  0  0  2  0  2  0  2  0  0  0  2  2  2  2  2  2  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  2  2  0  2  2  0  0  2  0  0  2  0  0  0  2  2  2  2  2  0  0  0  0  2  0  0  2  2  0  2  2  0  2  0  2  0  0  0  0  2  0  0  0  2  2  2  0  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  2  0  0  2  0  2  0  2  0  0  2  0  0  2  0  0  0  2  0  0  2  2  0  2  2  0  2  2  0  0  0  2  2  0  0  2  2  0  0  2  0  0  2  2  2  2  0  0  0  0  2  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  0  2  2  2  2  2  2  0  2  0  2  2  2  0  0  2  2  0  0  0  0  2  0  0  2  2  0  0  0  2  0  0  0  2  2  2  0  2  0  2  0  0  0  0  2  0  2  2  0  0  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+143x^88+349x^90+28x^91+566x^92+144x^93+561x^94+244x^95+772x^96+376x^97+828x^98+488x^99+803x^100+360x^101+661x^102+232x^103+528x^104+136x^105+324x^106+28x^107+248x^108+8x^109+147x^110+4x^111+101x^112+64x^114+30x^116+7x^118+7x^120+3x^122+1x^148

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 10.9 seconds.