The generator matrix

 1  0  1  1  1 X+2  1  1  0  1 X+2  1  1  1  0  1  1 X+2  1  1  0  1 X+2  1  1  1  1  X  1  1  0  1  1  1  2  1 X+2  1  X  1  1  2  1  2  1  X  1  1  1  0  1 X+2 X+2  X  1  1  1  1  1  2  1  1  1  1  2  1  1  1 X+2  1  1 X+2  1  1
 0  1 X+1 X+2  1  1  0 X+1  1  3  1 X+2  0 X+1  1 X+2  3  1  X X+1  1  3  1  0  0 X+2  3  1 X+2 X+1  1  0 X+3  2  1  3  1  0  1 X+2 X+3  1  2  1 X+2  1 X+2  1 X+1  1  X  1  1  1  X  3  3  1 X+3  X  2  3 X+1 X+1  2  X  X  0  1 X+3  3  1  0 X+1
 0  0  2  0  0  0  0  0  2  2  2  0  0  0  0  0  2  2  0  0  0  2  2  0  0  2  0  0  2  0  2  2  2  2  0  2  2  2  2  2  2  0  2  2  2  0  0  2  0  0  2  0  0  2  0  2  2  0  0  0  2  0  2  0  0  2  0  2  2  2  0  0  0  2
 0  0  0  2  0  0  0  0  0  2  2  0  2  2  2  0  2  0  2  2  2  0  2  0  2  2  0  0  2  2  0  0  0  2  2  2  2  0  0  2  2  0  0  2  0  2  2  0  0  0  0  2  2  2  0  0  0  2  2  2  2  0  0  0  0  0  0  0  2  2  0  0  2  0
 0  0  0  0  2  0  0  2  2  2  0  2  0  2  0  0  0  0  2  2  0  2  2  2  0  0  0  2  2  2  2  2  0  2  0  0  2  2  2  2  0  0  2  2  0  2  0  0  0  2  0  0  2  2  0  0  0  0  0  2  0  2  2  0  2  0  0  0  0  2  2  0  2  2
 0  0  0  0  0  2  0  2  0  2  2  0  0  0  0  2  0  2  2  2  2  2  0  2  2  0  2  0  0  2  0  0  2  2  0  2  2  2  2  2  0  2  2  2  2  0  2  2  0  2  0  2  0  0  0  0  0  0  2  0  2  2  0  0  0  0  2  0  0  2  0  2  2  2
 0  0  0  0  0  0  2  0  0  0  0  2  2  0  0  0  2  2  2  0  0  2  2  2  2  0  2  2  2  2  2  0  2  2  2  2  2  2  0  0  0  0  0  0  2  0  0  0  2  2  2  2  2  0  0  0  2  2  0  2  2  0  2  0  0  0  2  2  2  2  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+46x^67+78x^68+184x^69+155x^70+224x^71+118x^72+204x^73+97x^74+196x^75+116x^76+196x^77+112x^78+160x^79+64x^80+52x^81+12x^82+14x^83+5x^84+4x^85+1x^86+3x^90+4x^94+1x^96+1x^100

The gray image is a code over GF(2) with n=296, k=11 and d=134.
This code was found by Heurico 1.16 in 0.453 seconds.