The generator matrix

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

generates a code of length 73 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+114x^68+72x^69+120x^70+165x^72+128x^73+148x^74+133x^76+48x^77+48x^78+25x^80+4x^82+7x^84+8x^85+1x^88+1x^92+1x^132

The gray image is a code over GF(2) with n=292, k=10 and d=136.
This code was found by Heurico 1.16 in 0.247 seconds.