The generator matrix

 1  0  0  1  1  1  X  1  1 X+2  1  1  X X+2  X X+2  1  1  0  1  1 X+2  1  1  1  1  2  2  1  0  0  2  1  1  1  1  1  1  0  1  1  2  1  2  1  1  X  2  1  X  1  1  1  1  2  1  1  2  1  1  1  1  1 X+2  2  1  1  X X+2  1  0  1  1  1 X+2  1  1  0  1  2  1  1  1  X  1  1  1  1  1 X+2  2  X  1  1  1  0  2  X  1
 0  1  0  X  1 X+3  1 X+2  0  2  1 X+1 X+2  1  1  1  X  3  1  0 X+1  1 X+2  0 X+1  1  1  X  2  1  1  0  X X+1 X+3  2 X+2  3  1  3 X+2  X  2  2  3  0  1  1 X+3  0 X+3 X+1 X+2 X+2  1  X  1 X+2 X+2  X  1  1  1 X+2  1  2 X+3  2  1  0  2  3  3 X+2  1  3  0  1 X+2  1  3 X+1 X+3 X+2  X  1 X+3 X+2 X+2  1  1  X  3 X+2  2  1  1  1  0
 0  0  1  1 X+3 X+2  1 X+3 X+2  1  1  0  1 X+1  X  0 X+2  2  1 X+3  3 X+2  0  3 X+3  X  1  1  X X+2 X+1  1 X+2 X+2 X+1 X+2 X+3  1 X+1  X  1  1  0  1 X+3 X+3 X+3  X  2  1  3  2 X+2  1  0  3  1  1  1  0 X+1 X+3  2  1  2  0 X+1  1  3 X+2  1  3  1  3 X+2  0  2  3  1  2  X  X  X  1 X+3  3  2  X  2  1  0  1  2 X+3  3 X+2 X+3  1  0
 0  0  0  2  0  0  0  0  2  2  0  0  0  2  2  0  2  0  2  2  2  2  2  2  0  2  0  2  2  2  0  2  0  0  2  0  0  0  0  2  0  0  0  0  0  2  0  2  2  0  2  2  0  2  0  0  2  0  0  2  2  0  0  2  2  0  0  0  0  2  0  2  2  2  2  2  2  0  2  0  2  0  0  2  2  2  0  2  2  2  2  2  0  2  0  0  0  0  0
 0  0  0  0  2  0  0  0  0  0  0  2  2  2  2  2  2  0  2  0  0  0  2  0  2  2  2  2  0  0  2  0  0  0  2  2  0  2  0  0  2  2  2  0  0  2  0  2  2  2  0  2  0  0  2  2  2  0  0  0  2  2  0  2  0  2  0  0  0  2  2  2  2  2  0  2  2  2  2  0  0  0  2  0  0  0  0  2  0  0  0  2  2  2  0  0  0  0  0
 0  0  0  0  0  2  0  0  0  0  0  2  0  0  0  0  0  2  0  0  0  0  2  2  2  0  2  2  2  2  2  2  2  0  2  0  2  2  2  0  2  0  2  2  0  2  0  0  0  2  0  2  2  2  0  2  2  0  2  2  0  0  2  0  2  0  0  2  2  2  2  0  0  0  0  0  2  0  2  2  2  2  0  0  0  0  0  0  0  2  2  0  2  0  0  2  2  0  0
 0  0  0  0  0  0  2  0  0  0  0  0  0  2  0  2  2  2  0  2  2  2  2  2  2  2  0  0  0  0  2  0  0  0  2  2  0  0  0  0  2  2  2  2  2  0  2  0  2  0  0  0  2  0  0  0  0  2  2  2  0  2  2  0  2  2  0  0  2  0  2  2  2  0  0  0  2  0  0  0  2  0  0  2  0  2  2  0  2  0  2  0  2  2  2  0  0  0  0
 0  0  0  0  0  0  0  2  2  2  2  2  2  0  0  2  0  0  0  0  0  2  2  2  2  2  0  2  0  0  0  0  2  2  0  2  0  2  2  0  2  2  0  2  0  2  2  2  0  2  2  2  2  0  0  0  2  2  0  0  0  0  2  2  0  0  0  0  0  0  2  2  0  0  0  0  0  0  0  0  0  2  0  2  2  2  2  2  2  2  2  0  2  2  0  2  2  0  0

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+37x^88+142x^89+331x^90+374x^91+719x^92+674x^93+1001x^94+870x^95+1272x^96+1052x^97+1383x^98+1108x^99+1363x^100+1016x^101+1189x^102+824x^103+831x^104+532x^105+547x^106+332x^107+311x^108+142x^109+117x^110+50x^111+57x^112+16x^113+27x^114+24x^115+15x^116+8x^117+5x^118+2x^120+2x^121+8x^122+2x^123

The gray image is a code over GF(2) with n=396, k=14 and d=176.
This code was found by Heurico 1.16 in 22.3 seconds.