The generator matrix

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

generates a code of length 94 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+50x^88+178x^89+233x^90+272x^91+147x^92+236x^93+160x^94+158x^95+107x^96+136x^97+84x^98+64x^99+38x^100+36x^101+20x^102+22x^103+22x^104+22x^105+14x^106+28x^107+19x^108+1x^122

The gray image is a code over GF(2) with n=376, k=11 and d=176.
This code was found by Heurico 1.16 in 0.731 seconds.