The generator matrix

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

generates a code of length 82 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+34x^74+62x^75+91x^76+152x^77+150x^78+156x^79+179x^80+188x^81+179x^82+176x^83+152x^84+116x^85+103x^86+86x^87+70x^88+30x^89+23x^90+16x^91+17x^92+18x^93+17x^94+14x^95+2x^96+6x^97+3x^98+2x^99+2x^101+2x^102+1x^130

The gray image is a code over GF(2) with n=328, k=11 and d=148.
This code was found by Heurico 1.16 in 0.766 seconds.