The generator matrix

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

generates a code of length 95 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+90x^87+382x^88+468x^89+601x^90+642x^91+760x^92+634x^93+635x^94+554x^95+529x^96+478x^97+522x^98+354x^99+368x^100+252x^101+304x^102+192x^103+132x^104+108x^105+79x^106+52x^107+20x^108+10x^109+13x^110+4x^111+2x^113+6x^114

The gray image is a code over GF(2) with n=380, k=13 and d=174.
This code was found by Heurico 1.16 in 5.24 seconds.