The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+82x^61+144x^62+168x^63+219x^64+240x^65+228x^66+228x^67+259x^68+250x^69+233x^70+192x^71+219x^72+226x^73+205x^74+218x^75+170x^76+192x^77+149x^78+110x^79+121x^80+74x^81+57x^82+34x^83+30x^84+20x^85+6x^86+10x^87+4x^88+4x^89+2x^90+1x^92

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 9.11 seconds.