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

generates a code of length 98 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+101x^88+8x^90+143x^92+64x^94+168x^96+512x^97+112x^98+512x^99+156x^100+64x^102+92x^104+8x^106+55x^108+32x^112+14x^116+5x^120+1x^176

The gray image is a code over GF(2) with n=392, k=11 and d=176.
This code was found by Heurico 1.16 in 1.48 seconds.