The generator matrix

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

generates a code of length 69 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+62x^61+201x^62+452x^63+526x^64+530x^65+695x^66+708x^67+699x^68+682x^69+694x^70+694x^71+605x^72+514x^73+365x^74+298x^75+190x^76+90x^77+83x^78+30x^79+20x^80+16x^81+6x^82+10x^83+5x^84+10x^85+4x^86+2x^88

The gray image is a code over GF(2) with n=276, k=13 and d=122.
This code was found by Heurico 1.16 in 3.84 seconds.