The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  1  X  1  1  0  X  1  X  1  0  1  1  1  1  1 X+2  1  1  0  1  1  2  1  1  1  X  1  1  X  1  1  1  2  1  1  1  0  1  X  0  1 X+2  1  2  1  1  1  1  X  1  2  2  1  1  1  1  1  1 X+2  1  1  0  X  1  1  1  0  1  1  0  2  0  1  1  1  X  2  X  1  1  1  1  1  1 X+2  1  2  2  2
 0  1  1 X+2 X+3  1  0 X+1  1  X  3  1  0  3  1  1 X+2  1 X+1  1  3 X+1  2  X  X  1 X+3 X+2  1  1  0  1 X+1  0  3  1  3  0  1  X  1  2  1 X+3 X+3 X+2  1  2  1  1  0  1 X+3  1 X+2  2 X+2 X+3  1  3  1  1  2  3  2 X+1  X X+1  1  1 X+3  1  0 X+3 X+1 X+3  1  3 X+3  1  1  1 X+3  0  2  1  1  2  3  1  2  X  1  0  1  2  X  1  1
 0  0  X  0 X+2  0 X+2  0 X+2  X  2 X+2  0  2  0  X  0  2  2 X+2 X+2 X+2  X  X  0  2  X  X  2 X+2  0 X+2  0  X X+2  X  0  2  X X+2  0 X+2 X+2  X  0  0  X  2  0  0 X+2  2  X X+2 X+2  2  X  0 X+2 X+2  2 X+2  X  0  0  2  2 X+2  2  2  0  X  X  X  0  X X+2 X+2  X  0  2  2  X X+2  2  2  X  X X+2  2 X+2 X+2  X X+2  2  X X+2  0  0
 0  0  0  2  0  0  0  0  0  0  2  0  0  0  0  0  2  0  2  0  2  2  2  2  0  0  0  2  0  0  0  2  2  2  2  2  2  0  0  0  2  0  2  2  2  0  2  2  0  2  2  0  2  0  0  0  0  0  0  2  0  2  2  2  0  0  2  0  2  2  0  2  0  2  0  2  2  0  0  0  0  0  2  0  2  2  0  2  0  2  2  0  2  2  2  0  2  2  2
 0  0  0  0  2  0  0  0  0  0  0  2  0  0  0  2  0  0  0  0  0  2  2  2  2  2  2  2  0  2  2  0  2  0  0  2  2  0  2  0  0  0  2  0  2  0  0  0  2  2  2  0  2  0  0  2  2  2  2  0  2  2  0  0  2  0  2  2  2  0  0  2  0  0  2  0  2  2  0  0  2  2  2  0  2  0  2  0  0  0  0  0  2  2  2  0  2  2  0
 0  0  0  0  0  2  0  0  0  2  0  0  0  2  2  2  2  0  2  2  2  2  0  2  0  0  2  2  2  2  0  0  2  0  0  0  0  0  2  0  2  2  0  2  0  2  0  0  2  0  2  0  2  0  2  2  0  0  0  2  0  0  2  2  0  0  0  2  2  2  0  0  0  0  0  0  2  2  2  2  2  2  2  2  2  0  0  0  0  0  2  0  2  2  2  2  2  0  2
 0  0  0  0  0  0  2  0  2  0  0  0  2  2  2  2  2  2  2  0  2  2  0  2  2  0  2  0  0  2  0  2  0  0  2  2  2  2  2  0  0  2  2  2  0  0  0  0  0  2  0  0  0  0  0  2  2  0  2  0  0  0  0  2  2  0  2  0  0  0  2  0  2  0  0  2  2  0  2  0  2  2  2  2  2  2  2  0  2  0  2  2  0  0  2  0  2  0  0
 0  0  0  0  0  0  0  2  2  0  0  0  2  2  0  0  0  0  0  2  2  2  0  0  0  2  0  2  2  2  2  2  0  2  0  2  0  0  2  0  2  2  0  0  2  0  2  2  2  2  0  2  2  0  2  0  2  0  2  0  0  0  2  2  2  0  0  2  0  0  0  2  2  0  2  0  2  0  2  0  2  0  0  0  2  2  0  2  0  2  2  2  0  2  0  2  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+48x^89+138x^90+258x^91+239x^92+474x^93+380x^94+652x^95+405x^96+810x^97+413x^98+780x^99+466x^100+752x^101+362x^102+600x^103+322x^104+390x^105+162x^106+224x^107+67x^108+60x^109+48x^110+34x^111+21x^112+24x^113+23x^114+10x^115+11x^116+2x^117+8x^118+2x^119+2x^120+2x^126+1x^128+1x^132

The gray image is a code over GF(2) with n=396, k=13 and d=178.
This code was found by Heurico 1.16 in 38 seconds.