The generator matrix

 1  0  0  1  1  1 X+2  1  2  1  1  X  1  2  1 X+2  1  1 X+2  1  0 X+2  1  1  X  1  X  1  2  1  1  1  1  1  X  2  1  X  X  1  1  1  1  0  1  0 X+2  1  1  1  1  1  1  1  0  1  X  1  2  1  X  1  X  1 X+2  1  X  1  1  0  1  1 X+2  X  1  1  0  1  0  1  1  1  1 X+2 X+2  1  0 X+2  1  0  0  2  1  X  1  1  2  2
 0  1  0  0  1 X+3  1  3  1  X X+1  1  X  2  X  1 X+3 X+2  1  1 X+2  1  X  3  1  0  X X+3  1  2  0 X+1  3  2  0  1  0  1  X  0  1 X+2  1  1  1  1 X+2  3 X+2  2 X+1  0 X+3  X  1  1  1  1  1 X+3  1  0  2 X+2  0  2  1  X  3 X+2  1  X  1  1  0  3 X+2  0  1 X+2  2  2  3  1  1  2  X  1  X  1  0  2 X+1  1  3  1  1  1
 0  0  1  1  1  0  1  X X+1 X+3  1 X+2  X  1 X+3  3  3 X+2  2  X  1 X+2  1 X+1 X+1  2  1  X  X X+2 X+1 X+3  2  2  1 X+1 X+3  3  1 X+3  1  0  0 X+1  2 X+2  1 X+2  1  1  3  X  1 X+3 X+2  3  X X+2  0 X+3  0  X  1  1  1  2 X+1 X+2  2  1 X+1  3 X+1  X  2  3  1  X  3 X+2  2 X+1  2 X+2 X+2  X  1  0 X+2 X+3  1  1 X+3 X+1  1  1  0 X+2
 0  0  0  X  0  0  2  0  2  X  2  2  0 X+2  0  X X+2 X+2 X+2  X  2 X+2  0 X+2 X+2  X  X  X X+2  X  X  0 X+2  0  0  X X+2  2 X+2  2  2 X+2  X X+2 X+2  0  0 X+2  2  X  0  0  X  0  2 X+2  X  0  2 X+2  2  2  2  X  2 X+2  0  0  0  X X+2  X  X X+2  X  0  X  0 X+2  0  0  X X+2  2  2  0  2  X  X  2  2  X  0  X X+2 X+2  X  2
 0  0  0  0  X X+2 X+2 X+2  X  0  X  2  2  0  0 X+2  X  2  0 X+2  0  0  2  X  X  2  2 X+2 X+2  2  0  2  0  X  X  0 X+2  2 X+2  X  2 X+2  X  2  2  X X+2  0  2  X X+2  2  0 X+2  2  X  0 X+2  X  2 X+2 X+2  X  X  0  2  2  X  0  0  0  0  0  X X+2  2 X+2  X  X  X  2  0  X X+2  0  2  X X+2  X  X  X  0  0  2  0  X X+2  2
 0  0  0  0  0  2  0  0  2  2  2  2  2  0  2  0  2  0  2  2  2  0  0  0  2  2  2  0  0  0  2  2  0  2  0  2  2  0  0  2  0  2  2  0  0  2  2  2  2  0  0  2  2  0  0  2  2  2  0  0  2  0  0  2  2  2  2  0  0  0  2  0  0  2  2  0  0  0  0  2  0  0  0  0  0  0  0  2  2  0  2  0  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+136x^88+208x^89+552x^90+516x^91+972x^92+748x^93+1172x^94+1060x^95+1287x^96+1084x^97+1346x^98+1148x^99+1199x^100+960x^101+1000x^102+720x^103+740x^104+420x^105+400x^106+248x^107+205x^108+28x^109+112x^110+20x^111+40x^112+8x^113+22x^114+21x^116+4x^118+4x^120+3x^124

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 21.1 seconds.