The generator matrix

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

generates a code of length 76 over Z4 who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+48x^61+144x^62+290x^63+430x^64+564x^65+756x^66+812x^67+969x^68+1154x^69+1307x^70+1490x^71+1611x^72+1818x^73+2014x^74+1940x^75+1893x^76+1982x^77+2012x^78+1964x^79+1680x^80+1604x^81+1394x^82+1158x^83+962x^84+742x^85+635x^86+426x^87+324x^88+250x^89+162x^90+88x^91+53x^92+26x^93+22x^94+22x^95+9x^96+4x^97+2x^98+2x^99+3x^100+1x^104

The gray image is a code over GF(2) with n=152, k=15 and d=61.
This code was found by Heurico 1.10 in 127 seconds.