The generator matrix

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

generates a code of length 83 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+239x^76+68x^77+418x^78+204x^79+459x^80+188x^81+536x^82+124x^83+419x^84+172x^85+412x^86+180x^87+319x^88+84x^89+148x^90+4x^91+49x^92+14x^94+34x^96+4x^98+13x^100+4x^102+1x^104+2x^112

The gray image is a code over GF(2) with n=332, k=12 and d=152.
This code was found by Heurico 1.16 in 2.64 seconds.