The generator matrix

 1  0  0  0  0  1  1  1  2  1  1  1  1  X  X  0 X+2 X+2  1  1  0  1  0  1 X+2  1  0  1  1  1  0  X  2  1  1  X  1 X+2  2  2  2  1  1  1  1  0  1  1  1  0  1  1  0 X+2  1  X  1  1  0  1 X+2  X  1  X X+2  1  1  1  1  X  1  0  2  1  1  1  1  0  2  0  1  X X+2 X+2  2  1  1  X  0  1  1  1  2  2  1  X  2  1
 0  1  0  0  0  0  0  0  0  2  0  2  0  2  0  2  2  0  2  0  0  2  0  2  1 X+3  1  3  3 X+1  1  1  1 X+1  3  1 X+3  1  1  X X+2 X+2  3 X+3 X+2  1  X X+2 X+3  1  X X+3  1 X+2  1 X+2 X+1  X  1  1  1  1  1  1  X X+3 X+2  2  X  1  1  1  1  X  X  3  X  0  1 X+2  1  2  X  1  1  3 X+3  X  1  2  1 X+2  1  1 X+3  1  0 X+3
 0  0  1  0  0  2  1  3  1  X X+3  0  3  1  1  2  1  1 X+3 X+2  X  3 X+2 X+2  1  2  3  0  2  3  X X+3  1 X+1 X+1 X+2  2  X  0  X  1 X+2  1  3 X+3  1 X+2  1 X+3  2  2  2 X+3  1  2  1  2  1 X+1  3 X+1 X+3 X+2 X+2  2 X+3 X+1 X+1  3  2 X+1  0 X+3 X+1  X X+2  X  1  2  2  3  1  1  1  1  X X+3 X+2  X  1 X+3  3  X X+3 X+2  X  1 X+1
 0  0  0  1  0  3  1  2  3  0  0 X+1 X+1  3  0  1 X+3 X+2  X X+2  1 X+1  1  1  1  1  X  2 X+3  X X+1  3  2  0 X+3 X+2  2 X+3  1  2  X X+3  0  3 X+2  1 X+3  3 X+1 X+2  X  3  1 X+1  0 X+1 X+3  3  X  1  X  2  3  2  1  1  0 X+1  0  X  0  3 X+2 X+1  0  X  2 X+2 X+1  1  2  2  0 X+2  X  1  X  1 X+1  1  2  0  1  0 X+1 X+2 X+3  3
 0  0  0  0  1  1  2  3  3 X+1  X  X X+1  0  3 X+3 X+2 X+1 X+1  3  3  2  X X+2 X+3 X+2  X X+1  1 X+2  0 X+2 X+3 X+1  X  1  X X+1  0  1  0  3  X  2 X+2  X X+1  3  3 X+3 X+1  0 X+2  0  1 X+3  1 X+2 X+2  0 X+3  0 X+2  X  1  2  1  3  0  X X+1 X+3  3  0  3  X  X X+3 X+3  1  1 X+2 X+1  1  3  2  0  X  X X+2 X+2 X+3 X+3 X+1  X  1  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+564x^88+1970x^90+3118x^92+4064x^94+4382x^96+4948x^98+4683x^100+3606x^102+2678x^104+1636x^106+748x^108+260x^110+71x^112+20x^114+11x^116+6x^118+2x^122

The gray image is a code over GF(2) with n=392, k=15 and d=176.
This code was found by Heurico 1.13 in 124 seconds.