The generator matrix

 1  0  0  0  0  0  1  1  1  2  1  1  1  2  1  2  2  1  1  2  0  0  1  1  0  0  0  2  2  0  1  1  1  1  1  0  1  2  0  0  1  1  1  0  1  0  1  0  1  1  2  0  1  1  1  0  1  1  2  2  1  1  2  1  1  0  1  1  2  1  1
 0  1  0  0  0  0  0  0  0  0  2  1  3  1  2  0  1  3  3  1  1  1  0  1  2  1  0  1  1  1  2  3  2  3  3  1  1  2  0  0  2  2  0  1  0  0  2  1  2  2  1  2  1  1  3  0  1  3  1  1  0  3  2  1  0  2  1  1  1  2  2
 0  0  1  0  0  0  0  0  0  0  3  2  1  1  1  1  0  2  1  1  3  2  1  0  0  3  1  0  1  2  2  2  3  1  3  0  1  1  1  2  0  3  3  3  2  1  1  2  1  3  0  0  0  2  3  2  3  1  3  3  1  1  0  1  2  1  3  1  3  3  2
 0  0  0  1  0  0  2  1  3  1  1  3  2  1  1  0  0  3  1  0  2  2  3  0  1  0  3  3  1  3  1  2  0  0  1  3  1  3  3  1  0  2  2  3  1  3  1  1  1  3  3  2  0  3  1  0  2  2  2  1  0  3  0  2  1  1  2  3  3  3  2
 0  0  0  0  1  0  3  1  2  3  0  0  0  0  2  0  3  3  1  1  0  1  3  2  3  2  3  1  3  2  1  2  0  1  0  3  1  2  0  0  3  1  2  3  0  1  0  2  3  2  1  1  0  3  3  1  3  2  3  2  2  2  1  3  3  0  2  1  1  1  1
 0  0  0  0  0  1  1  2  3  3  0  0  0  0  3  1  0  2  1  3  3  1  1  3  0  0  3  2  2  1  3  2  1  3  2  3  2  2  1  1  2  1  2  2  3  0  1  0  0  0  0  3  3  3  1  1  1  1  2  3  2  0  0  2  0  3  3  0  3  3  3

generates a code of length 71 over Z4 who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+76x^61+132x^62+196x^63+228x^64+232x^65+223x^66+206x^67+255x^68+242x^69+252x^70+230x^71+208x^72+208x^73+213x^74+216x^75+182x^76+158x^77+171x^78+132x^79+79x^80+78x^81+46x^82+42x^83+39x^84+28x^85+13x^86+2x^87+2x^89+6x^90

The gray image is a code over GF(2) with n=142, k=12 and d=61.
This code was found by Heurico 1.16 in 3 seconds.