The generator matrix

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

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+136x^66+128x^67+356x^68+240x^69+456x^70+256x^71+424x^72+288x^73+372x^74+256x^75+390x^76+240x^77+224x^78+128x^79+91x^80+38x^82+31x^84+20x^86+14x^88+2x^90+2x^92+2x^96+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 1.12 seconds.