The generator matrix

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

generates a code of length 94 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 90.

Homogenous weight enumerator: w(x)=1x^0+70x^90+62x^91+161x^92+148x^93+203x^94+132x^95+113x^96+24x^97+67x^98+12x^99+13x^100+4x^101+11x^102+2x^115+1x^130

The gray image is a code over GF(2) with n=752, k=10 and d=360.
This code was found by Heurico 1.16 in 0.766 seconds.