The generator matrix

 1  0  1  1  1 X+2  1  1  0  2  1  1 X+2  1  1  X  1  1  1  0  1  1 X+2  1  1  2  1 X+2  1  1  0  1  1  1  X  1  1  1  1  1 X+2  0  1  0  1  1 X+2  X  1  1  1  1  1  2 X+2  1  1  1  1  0  X  1  1  1  1  1  1  0  2  1  1 X+2  1  1  0  1  X  1  1  0  1  X  1  1  X X+2  1  1  2 X+2  1  X X+2  0  1  1 X+2  2  1
 0  1  1  0 X+3  1  X X+1  1  1  0  3  1  X  3  1 X+1 X+2  X  1  2 X+3  1  1 X+1  1 X+3  1 X+2 X+2  1 X+3  1  2  1  0  3  0  0 X+3  1  1  1  1  3  2  1  1  1 X+2  X X+3 X+3  1  1  X  3 X+1  3  1  1  2 X+2  1 X+1  2 X+2  1  1  X  2  1 X+1 X+3  1  0  1 X+1  0  1  3  X X+1  2  1  1 X+1 X+1  1  1 X+3 X+2  1  1 X+1  2  1  1  X
 0  0  X  0 X+2  0  0  X X+2  X  X  X  2  X  0 X+2  2  X  0  2  X  2  X  0 X+2 X+2  0  2 X+2  2  0 X+2 X+2  0  2  0  2 X+2  0  2  X  0  0  X  X  2  2  X  2  X X+2  X  2  0  0  X  X  2  2  X X+2  0  0 X+2 X+2  2  0  X  0 X+2  2  0 X+2  2 X+2  0  2  2  X  0  X  X X+2 X+2 X+2 X+2 X+2  0 X+2  0 X+2 X+2 X+2  X  2 X+2  X X+2  X
 0  0  0  X  0  0  X  X  X  0  X X+2  X  2  2  2  0 X+2  0 X+2  0  X  X X+2 X+2  2  2  0 X+2  2  0  2  2  X X+2  0  2  X  2  X X+2  X X+2  X  X  X  X  0  0 X+2  0  X  0  0  2  2  2  2  2  X X+2  0  X  X  X X+2  X X+2  X  2  2  0  2  X  2  0  2 X+2  X X+2 X+2 X+2  2 X+2  2 X+2 X+2  X  0  2  2 X+2  0 X+2  2  X  0 X+2  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  2  0  2  2  2  2  2  2  2  2  2  2  0  0  0  0  2  2  2  2  2  0  0  0  0  2  0  2  2  0  2  2  2  0  2  0  2  2  2  2  0  0  2  2  0  2  0  0  0  2  0  2  2  2  2  2  0  2  2  2  0  2  2  2  2  0  2  2
 0  0  0  0  0  2  0  0  0  0  2  2  2  2  2  2  2  2  0  0  2  0  2  0  2  0  0  0  0  2  2  2  0  2  0  2  2  2  0  0  0  0  0  2  0  0  0  0  2  2  2  0  2  0  2  2  2  0  0  0  0  2  0  2  0  2  0  2  2  0  0  2  2  2  0  2  0  0  2  0  0  0  2  0  2  0  2  2  2  2  0  0  2  0  0  2  0  0  2
 0  0  0  0  0  0  2  0  0  0  0  0  0  2  0  0  2  2  2  0  0  2  0  0  2  2  0  2  2  0  2  2  0  2  0  0  0  2  0  2  2  2  2  2  0  2  0  2  0  0  2  0  2  2  0  2  0  0  2  0  0  0  2  2  2  2  0  0  0  0  0  2  0  2  2  2  0  0  0  2  2  2  0  0  0  2  0  0  2  0  2  2  0  0  2  2  0  2  0
 0  0  0  0  0  0  0  2  2  2  2  2  0  2  0  2  0  2  0  0  2  0  2  0  2  2  0  0  2  0  0  0  2  2  2  2  2  0  2  2  0  2  0  0  0  2  2  2  0  2  2  2  2  2  2  0  2  2  0  0  0  0  0  2  0  0  2  0  0  0  0  2  0  2  0  2  2  2  0  2  0  0  0  2  0  2  2  2  0  2  2  0  2  0  0  2  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+179x^88+32x^89+424x^90+244x^91+786x^92+516x^93+1092x^94+744x^95+1205x^96+984x^97+1498x^98+1080x^99+1624x^100+1008x^101+1232x^102+784x^103+966x^104+488x^105+518x^106+212x^107+320x^108+44x^109+172x^110+8x^111+105x^112+38x^114+52x^116+16x^118+6x^120+2x^122+2x^124+1x^128+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 27.2 seconds.