The generator matrix

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

generates a code of length 74 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+23x^66+62x^67+74x^68+98x^69+235x^70+72x^71+231x^72+56x^73+438x^74+54x^75+248x^76+40x^77+192x^78+42x^79+34x^80+46x^81+25x^82+14x^83+17x^84+10x^85+13x^86+10x^87+2x^88+6x^89+2x^90+2x^91+1x^124

The gray image is a code over GF(2) with n=296, k=11 and d=132.
This code was found by Heurico 1.16 in 0.52 seconds.