The generator matrix

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

generates a code of length 82 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+6x^76+90x^77+113x^78+106x^79+96x^80+88x^81+114x^82+74x^83+69x^84+54x^85+86x^86+64x^87+11x^88+20x^89+5x^90+10x^91+8x^92+4x^93+1x^94+2x^95+1x^108+1x^138

The gray image is a code over GF(2) with n=328, k=10 and d=152.
This code was found by Heurico 1.16 in 0.355 seconds.