The generator matrix

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

generates a code of length 74 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+44x^65+164x^66+206x^67+347x^68+480x^69+588x^70+732x^71+608x^72+622x^73+716x^74+696x^75+706x^76+666x^77+484x^78+340x^79+294x^80+184x^81+98x^82+58x^83+37x^84+36x^85+15x^86+16x^87+20x^88+14x^89+13x^90+2x^92+2x^93+1x^94+1x^96+1x^98

The gray image is a code over GF(2) with n=296, k=13 and d=130.
This code was found by Heurico 1.16 in 5.18 seconds.