The generator matrix

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

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+136x^67+151x^68+354x^69+278x^70+390x^71+215x^72+450x^73+296x^74+430x^75+214x^76+348x^77+230x^78+294x^79+103x^80+98x^81+14x^82+20x^83+12x^84+14x^85+12x^86+8x^87+4x^88+16x^89+2x^90+2x^91+1x^92+1x^96+2x^100

The gray image is a code over GF(2) with n=296, k=12 and d=134.
This code was found by Heurico 1.16 in 78.5 seconds.