The generator matrix

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

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+111x^88+294x^89+431x^90+682x^91+665x^92+1036x^93+925x^94+1356x^95+958x^96+1434x^97+1130x^98+1390x^99+952x^100+1106x^101+847x^102+876x^103+615x^104+574x^105+291x^106+246x^107+109x^108+142x^109+63x^110+40x^111+35x^112+16x^113+20x^114+10x^115+8x^116+4x^117+5x^118+8x^119+2x^121+2x^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 21.7 seconds.