The generator matrix

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

generates a code of length 74 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 67.

Homogenous weight enumerator: w(x)=1x^0+274x^67+363x^68+686x^69+593x^70+720x^71+667x^72+758x^73+569x^74+694x^75+582x^76+632x^77+365x^78+382x^79+240x^80+280x^81+115x^82+120x^83+62x^84+42x^85+18x^86+18x^87+4x^88+2x^89+4x^90+1x^92

The gray image is a code over GF(2) with n=296, k=13 and d=134.
This code was found by Heurico 1.16 in 79.2 seconds.