The generator matrix

 1  0  1  1  1 X+2  1  1  0 X+2  1  1  1  1  X  1  2  1 X+2  1  1 X+2  1  1  1 X+2  1  1 X+2  1  2  1  2  1  1  1  1  1  1  2  2  2  1  1  1  1  1  1  2  1  1  X  1  1  1  1  1  1  X  2 X+2  X  1  0  1  1  1  1  2  1  1  1 X+2  1  1  1  1  1  1  X  1  2  1  1  1  X  0  2  0  1  1  0  1  1  1  1  1  1  1
 0  1  1  0  1  1  X X+3  1  1 X+3  2  X X+1  1  X  1  1  1  3  0  1 X+3  X  2  1  3  0  1  1  1  3  1  X  1  2  2 X+3  X  1  1  1 X+1 X+3  3  2  3  2  1 X+2  3  1 X+1  2  X  3  2  0  1  1  1  1  0  1  3 X+1  2 X+3  1 X+2  3  0  1 X+2  2 X+2  3 X+1  X  0  X  1 X+3  1  0  1  1  1  X  0  X  1  0  1  2 X+1 X+2  1  2
 0  0  X  0  0  0  0  0  0  2 X+2  X X+2  2  0  X  X  X X+2  2 X+2 X+2  X  X  X  X  2  X  X  2  0  X  2  0 X+2 X+2  2 X+2  0 X+2  2  X  2  X  X  2 X+2  2  0  X X+2  X  2  X  2 X+2 X+2  2  0  X X+2  2  X X+2  2  0  0  0  X  0 X+2  0  X X+2  X  2  2  0  0  0  0  0 X+2  2  X  2 X+2  2  X  2  X X+2  2  X  X  2  2  2  0
 0  0  0  X  0  0  X  2  X X+2  0 X+2  X  X  0  0  2  X X+2 X+2  2  0  X  2 X+2  0  2  0  X X+2  X  2  0  0  X  X  X  X X+2 X+2  0 X+2  0  2  X  X  X  0  X X+2  0 X+2  X  2  2 X+2 X+2  2 X+2  2  0 X+2  2  X  2 X+2  2 X+2  2  0  2  0 X+2  0  X  0  2  2  0 X+2  X  2  2 X+2  X X+2 X+2  2  X  0 X+2 X+2 X+2  0  2  X  2 X+2  0
 0  0  0  0  X  0  0 X+2 X+2 X+2  2  X  X X+2  X X+2  0  0  0  X X+2  0  2  2  2  X  0  2 X+2  2  0 X+2  0  X X+2  0  X X+2 X+2 X+2 X+2  2  0 X+2 X+2  2  0 X+2  X  2 X+2 X+2 X+2  0  2  0 X+2  2  0  X  0  2 X+2 X+2 X+2  2  0  2 X+2  0  0  2 X+2  0  X  X  2  X X+2  0  2  X  2 X+2  X  0  0  2 X+2  0  2  X  X X+2  0  2 X+2  2  X
 0  0  0  0  0  2  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  0  2  2  2  2  2  2  2  0  2  0  2  2  0  0  2  0  2  0  2  0  2  2  2  0  0  0  0  2  2  2  2  0  2  2  0
 0  0  0  0  0  0  2  2  2  0  2  0  2  2  2  2  2  0  2  0  0  0  2  0  2  2  0  2  2  0  2  0  2  2  2  0  0  0  2  0  2  0  2  0  0  2  0  0  0  2  2  2  2  2  0  2  2  2  2  0  0  0  2  0  2  0  0  2  2  2  2  2  0  0  0  0  2  0  2  2  2  0  2  0  2  2  0  0  0  0  2  0  2  0  0  2  0  2  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+144x^88+32x^89+460x^90+228x^91+794x^92+480x^93+1127x^94+792x^95+1309x^96+988x^97+1422x^98+1096x^99+1493x^100+1004x^101+1151x^102+768x^103+1018x^104+532x^105+594x^106+180x^107+346x^108+36x^109+175x^110+8x^111+100x^112+50x^114+30x^116+9x^118+11x^120+2x^122+2x^126+1x^132+1x^136

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 25.8 seconds.