The generator matrix

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

generates a code of length 82 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+122x^75+253x^76+324x^77+300x^78+348x^79+373x^80+262x^81+307x^82+284x^83+321x^84+314x^85+249x^86+238x^87+155x^88+104x^89+29x^90+20x^91+34x^92+8x^93+7x^94+6x^95+10x^96+10x^97+2x^98+6x^99+4x^100+2x^101+2x^106+1x^112

The gray image is a code over GF(2) with n=328, k=12 and d=150.
This code was found by Heurico 1.16 in 8.93 seconds.