The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+62x^61+143x^62+182x^63+213x^64+234x^65+261x^66+228x^67+240x^68+262x^69+234x^70+240x^71+197x^72+220x^73+207x^74+178x^75+186x^76+154x^77+148x^78+136x^79+116x^80+74x^81+50x^82+50x^83+34x^84+18x^85+11x^86+10x^87+5x^88+2x^90

The gray image is a code over GF(2) with n=142, k=12 and d=61.
This code was found by Heurico 1.10 in 0.985 seconds.