The generator matrix

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

generates a code of length 83 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+50x^72+22x^73+121x^74+168x^75+264x^76+310x^77+381x^78+528x^79+569x^80+692x^81+708x^82+656x^83+696x^84+692x^85+556x^86+528x^87+345x^88+310x^89+209x^90+168x^91+101x^92+22x^93+36x^94+14x^96+20x^98+2x^100+8x^102+5x^104+4x^106+1x^108+3x^110+2x^114

The gray image is a code over GF(2) with n=332, k=13 and d=144.
This code was found by Heurico 1.16 in 6 seconds.