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

generates a code of length 75 over Z4 who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+78x^59+234x^60+382x^61+558x^62+712x^63+992x^64+1254x^65+1583x^66+1990x^67+2215x^68+2556x^69+3024x^70+3254x^71+3634x^72+3902x^73+4012x^74+4070x^75+4127x^76+4192x^77+3906x^78+3604x^79+3020x^80+2648x^81+2326x^82+1912x^83+1509x^84+1130x^85+813x^86+626x^87+438x^88+274x^89+240x^90+124x^91+75x^92+42x^93+42x^94+12x^95+11x^96+2x^97+7x^98+2x^99+2x^101+1x^102

The gray image is a code over GF(2) with n=150, k=16 and d=59.
This code was found by Heurico 1.10 in 552 seconds.