The generator matrix

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

generates a code of length 71 over Z4 who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+30x^57+97x^58+192x^59+269x^60+404x^61+429x^62+514x^63+657x^64+648x^65+789x^66+858x^67+885x^68+918x^69+968x^70+1014x^71+909x^72+1004x^73+1019x^74+870x^75+747x^76+686x^77+669x^78+480x^79+396x^80+326x^81+215x^82+136x^83+91x^84+64x^85+38x^86+32x^87+12x^88+16x^89+1x^120

The gray image is a code over GF(2) with n=142, k=14 and d=57.
This code was found by Heurico 1.10 in 15.3 seconds.