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  2  0  1  1  X  1  1  X  1  1  0  2  1  1 X+2  1  1  1  1  0  2  1 X+2  2  1  1  1  1  X  1  1  2  X  0  1  1  1  X  X X+2  1  1  1  0  0  1 X+2  1  1  X  1  1  1  2  1  1  1  X  1  1  1  1  X  1  1  0  1  1  1 X+2  1  2  1  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 X+1 X+2  1  X  1  1  1  1  X  1  2  1  1  0  3  1  1 X+2 X+2 X+3  0  1  X  2  1  2  2  1 X+1  1  3 X+1  X  1  1 X+1  1 X+1  1  2  X X+3 X+2 X+1  1  0  2  1  2 X+2  1  1  X  X  1  0  2  3  1 X+3 X+1  1 X+3  1  0  0  1  X  0  X  2 X+1  X  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 X+3  1 X+2 X+1  X  1  2  1  1  X  1 X+3  X  2  2  1 X+1  3  2 X+2  1 X+1  X  1  X X+3  X X+2  1  0 X+1  2  1  1 X+3 X+2  2 X+1  2  1  1 X+1  0  1  2  1  3 X+1 X+2  X  0 X+2  3  2  3 X+1  0 X+2 X+2  X X+3 X+1  2  1 X+1 X+1  0 X+2 X+2  0  1  3  1 X+3  2
 0  0  0  2  0  0  0  0  2  2  0  0  0  2  2  0  2  0  2  2  2  2  2  0  0  0  2  2  2  2  2  2  2  2  2  0  2  2  0  0  2  0  0  2  0  2  2  2  2  0  0  2  2  2  2  2  0  0  0  0  2  0  2  0  0  0  0  2  0  0  2  2  0  2  0  0  2  0  0  0  0  2  0  2  0  2  0  0  2  0  0  2  0  0  0  2  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  2  2  2  0  2  0  0  2  0  0  2  2  0  2  2  0  0  2  2  2  2  0  2  2  0  2  0  0  0  2  0  2  2  2  0  2  2  2  2  2  2  2  2  2  0  0  0  2  0  0  2  2  2  2  2  2  2  2  2  0  0  2  2  0  0  2  2  0  2  2  2  0  0  0  2
 0  0  0  0  0  2  0  0  0  0  0  2  0  0  0  0  0  2  0  0  0  0  0  0  0  0  0  2  0  2  0  0  2  0  0  0  0  2  0  0  0  0  2  0  0  2  2  2  2  2  2  2  2  2  0  2  2  2  2  0  2  2  0  2  2  0  2  2  2  2  2  0  2  2  0  0  2  0  2  2  0  0  2  0  2  2  0  2  0  2  0  2  2  2  0  0  2  0
 0  0  0  0  0  0  2  0  0  0  0  0  0  2  0  2  2  2  0  2  2  2  0  0  2  2  2  2  0  0  2  2  2  0  2  2  2  0  0  2  2  2  2  0  0  0  0  0  2  2  0  2  0  0  0  2  0  0  0  2  2  2  2  0  2  0  2  2  2  0  0  0  0  2  2  0  2  0  2  2  0  0  2  2  0  0  2  2  2  0  2  0  0  2  2  0  0  2
 0  0  0  0  0  0  0  2  2  2  2  2  2  0  0  2  0  0  0  0  0  2  2  2  0  0  2  2  0  0  0  0  0  0  2  2  2  2  0  0  2  2  2  2  2  0  0  2  0  0  2  2  0  2  0  2  2  2  0  0  2  0  2  0  2  2  0  2  0  0  2  0  2  0  2  0  2  2  0  0  2  2  2  2  0  0  2  2  0  2  2  2  0  0  2  0  0  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+160x^88+160x^89+610x^90+428x^91+1035x^92+684x^93+1266x^94+948x^95+1531x^96+868x^97+1466x^98+1012x^99+1362x^100+748x^101+1078x^102+724x^103+843x^104+300x^105+446x^106+208x^107+243x^108+56x^109+86x^110+8x^111+50x^112+38x^114+16x^116+2x^118+7x^120

The gray image is a code over GF(2) with n=392, k=14 and d=176.
This code was found by Heurico 1.16 in 23.4 seconds.