The generator matrix

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

generates a code of length 77 over Z4 who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+38x^60+140x^61+238x^62+444x^63+595x^64+788x^65+1062x^66+1308x^67+1582x^68+1886x^69+2286x^70+2704x^71+2890x^72+3204x^73+3495x^74+3690x^75+4103x^76+3942x^77+4050x^78+4098x^79+3709x^80+3348x^81+3177x^82+2868x^83+2291x^84+2048x^85+1486x^86+1134x^87+901x^88+600x^89+477x^90+318x^91+211x^92+142x^93+100x^94+62x^95+47x^96+28x^97+13x^98+8x^99+15x^100+2x^101+6x^103+1x^104

The gray image is a code over GF(2) with n=154, k=16 and d=60.
This code was found by Heurico 1.10 in 565 seconds.