The generator matrix

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

generates a code of length 83 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 77.

Homogenous weight enumerator: w(x)=1x^0+88x^77+179x^78+180x^79+203x^80+244x^81+197x^82+148x^83+158x^84+138x^85+117x^86+86x^87+68x^88+58x^89+44x^90+60x^91+40x^92+8x^93+3x^94+2x^95+4x^96+6x^97+2x^98+4x^99+6x^100+2x^101+1x^102+1x^114

The gray image is a code over GF(2) with n=332, k=11 and d=154.
This code was found by Heurico 1.16 in 0.67 seconds.