The generator matrix

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

generates a code of length 76 over Z4 who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+110x^60+230x^61+363x^62+546x^63+842x^64+1032x^65+1289x^66+1588x^67+1847x^68+2182x^69+2645x^70+2956x^71+3129x^72+3684x^73+3924x^74+4040x^75+4213x^76+4106x^77+3927x^78+3766x^79+3561x^80+3162x^81+2592x^82+2390x^83+1997x^84+1534x^85+1183x^86+840x^87+653x^88+352x^89+278x^90+236x^91+121x^92+88x^93+50x^94+20x^95+36x^96+10x^97+4x^98+2x^99+4x^101+2x^104+1x^114

The gray image is a code over GF(2) with n=152, k=16 and d=60.
This code was found by Heurico 1.10 in 574 seconds.