The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+16x^59+69x^60+190x^61+273x^62+396x^63+586x^64+704x^65+868x^66+1012x^67+1070x^68+1288x^69+1498x^70+1654x^71+1721x^72+1906x^73+2000x^74+1962x^75+2049x^76+1920x^77+1984x^78+1780x^79+1569x^80+1412x^81+1120x^82+988x^83+697x^84+572x^85+442x^86+306x^87+255x^88+166x^89+124x^90+70x^91+39x^92+30x^93+11x^94+8x^95+4x^96+4x^97+3x^100+1x^108

The gray image is a code over GF(2) with n=150, k=15 and d=59.
This code was found by Heurico 1.10 in 123 seconds.