The generator matrix

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

generates a code of length 97 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+74x^87+301x^88+418x^89+772x^90+674x^91+982x^92+902x^93+1329x^94+1134x^95+1346x^96+1054x^97+1293x^98+978x^99+1262x^100+832x^101+857x^102+542x^103+603x^104+288x^105+304x^106+156x^107+88x^108+64x^109+41x^110+16x^111+19x^112+24x^113+7x^114+8x^115+4x^116+2x^117+5x^118+2x^119+2x^120

The gray image is a code over GF(2) with n=388, k=14 and d=174.
This code was found by Heurico 1.16 in 21.5 seconds.