The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  1  X  1  1  X  X  1  1  0  1  1  0  1  1 X+2  1  1  1  1  1  2  1 X+2  1  1  1  1  2  1  1  X  1  1  1  X  0  1  1  0 X+2  X  1  0  1 X+2  1  0  1  1  1  X X+2  1  1  X  1  1  X  1 X+2  1  1  X
 0  1  1  0 X+3  1 X+1 X+2  1  2  3  1  X X+3  1  1  1  X  1  1 X+2  1  0 X+1  1 X+2  1  2 X+1  3  1 X+1  1  X  1  0 X+3  1  1  X  1  2  X X+3  1  1  3 X+3  1  1  1  2  1 X+1  1 X+1  1  1 X+2 X+2  1  1  X  2  1  1  3  0 X+1  1  2 X+1  2
 0  0  X  0 X+2  0  2  2  X X+2  0 X+2 X+2  2  0  X X+2  0 X+2  2 X+2  0  X X+2 X+2  0  2 X+2  2  0 X+2  2  2  X  X  0  X  0  2  X  0  0  X  0 X+2  2  2 X+2  0  X  2  X X+2  2  0  0  2 X+2  X  2 X+2  X  0  0  0 X+2  X  X X+2  2  X X+2  X
 0  0  0  X  0  0  0  2  2  2  2  0  2 X+2 X+2  X X+2 X+2  X X+2 X+2  X X+2 X+2 X+2  2  X  2 X+2  0  0  0  0  X  2  2 X+2 X+2  2  0  X X+2 X+2  X  0  X  0  0 X+2 X+2  0 X+2  X  2  X  X  2  X  0  2  2  2  0  X  0  0  2  0  2 X+2  0  X X+2
 0  0  0  0  2  0  0  0  2  2  0  2  2  0  0  2  2  0  2  0  2  0  2  0  0  2  2  0  2  2  0  2  2  0  0  2  0  2  2  0  0  2  0  0  0  0  2  0  2  2  2  0  0  2  2  2  0  2  2  0  2  2  2  0  2  2  2  0  0  0  2  0  2
 0  0  0  0  0  2  2  2  0  2  0  2  0  0  2  2  0  2  0  2  2  0  0  0  0  2  0  2  2  0  0  2  0  0  2  2  2  2  2  0  0  2  2  2  2  2  0  0  0  0  2  0  0  0  2  2  0  2  2  0  0  0  0  2  2  0  2  0  2  0  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+173x^66+124x^67+332x^68+260x^69+398x^70+272x^71+489x^72+236x^73+375x^74+272x^75+315x^76+252x^77+265x^78+96x^79+112x^80+20x^81+36x^82+4x^83+16x^84+29x^86+10x^88+4x^90+4x^92+1x^100

The gray image is a code over GF(2) with n=292, k=12 and d=132.
This code was found by Heurico 1.16 in 1.23 seconds.