The generator matrix

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

generates a code of length 94 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+56x^89+116x^90+128x^91+116x^92+132x^93+93x^94+68x^95+96x^96+46x^97+48x^98+44x^99+23x^100+12x^101+2x^102+16x^103+3x^104+8x^105+10x^106+1x^108+2x^121+2x^122+1x^126

The gray image is a code over GF(2) with n=376, k=10 and d=178.
This code was found by Heurico 1.16 in 0.723 seconds.