The generator matrix

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

generates a code of length 80 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+56x^73+188x^74+340x^75+342x^76+422x^77+395x^78+330x^79+403x^80+306x^81+283x^82+200x^83+162x^84+178x^85+125x^86+108x^87+95x^88+46x^89+25x^90+44x^91+19x^92+16x^93+4x^94+2x^95+1x^96+4x^98+1x^100

The gray image is a code over GF(2) with n=320, k=12 and d=146.
This code was found by Heurico 1.16 in 1.14 seconds.