The generator matrix

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

generates a code of length 95 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 90.

Homogenous weight enumerator: w(x)=1x^0+221x^90+792x^91+963x^92+1250x^93+978x^94+894x^95+714x^96+656x^97+515x^98+372x^99+253x^100+190x^101+135x^102+138x^103+47x^104+48x^105+6x^106+12x^107+5x^108+1x^116+1x^118

The gray image is a code over GF(2) with n=760, k=13 and d=360.
This code was found by Heurico 1.16 in 1.5 seconds.