The generator matrix

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

generates a code of length 71 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+162x^66+196x^67+303x^68+172x^69+258x^70+156x^71+223x^72+100x^73+156x^74+64x^75+66x^76+24x^77+46x^78+28x^79+32x^80+20x^81+14x^82+4x^83+14x^84+4x^85+4x^86+1x^92

The gray image is a code over GF(2) with n=284, k=11 and d=132.
This code was found by Heurico 1.11 in 0.244 seconds.