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

generates a code of length 99 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+96x^89+267x^90+474x^91+700x^92+812x^93+885x^94+1098x^95+1073x^96+1188x^97+1250x^98+1132x^99+1257x^100+1188x^101+1098x^102+872x^103+742x^104+596x^105+485x^106+434x^107+218x^108+172x^109+141x^110+74x^111+30x^112+36x^113+28x^114+8x^115+9x^116+4x^117+4x^118+4x^119+2x^120+4x^121+2x^122

The gray image is a code over GF(2) with n=396, k=14 and d=178.
This code was found by Heurico 1.16 in 21.5 seconds.