The generator matrix

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

generates a code of length 73 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+269x^66+344x^67+687x^68+512x^69+901x^70+500x^71+858x^72+568x^73+822x^74+416x^75+685x^76+340x^77+408x^78+212x^79+276x^80+96x^81+149x^82+64x^83+48x^84+20x^85+9x^86+5x^88+2x^94

The gray image is a code over GF(2) with n=292, k=13 and d=132.
This code was found by Heurico 1.16 in 3.53 seconds.