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

generates a code of length 95 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 94.

Homogenous weight enumerator: w(x)=1x^0+7x^94+106x^95+7x^96+4x^103+2x^111+1x^126

The gray image is a code over GF(2) with n=760, k=7 and d=376.
This code was found by Heurico 1.16 in 0.641 seconds.