The generator matrix

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

generates a code of length 69 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+30x^62+62x^63+149x^64+204x^65+178x^66+130x^67+173x^68+232x^69+164x^70+130x^71+165x^72+204x^73+128x^74+62x^75+16x^76+2x^78+2x^80+6x^82+3x^84+2x^86+3x^88+2x^102

The gray image is a code over GF(2) with n=276, k=11 and d=124.
This code was found by Heurico 1.16 in 0.386 seconds.