The generator matrix

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

generates a code of length 90 over Z4 who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+34x^78+64x^79+131x^80+138x^81+202x^82+168x^83+196x^84+228x^85+198x^86+274x^87+185x^88+218x^89+220x^90+210x^91+238x^92+188x^93+164x^94+168x^95+139x^96+146x^97+118x^98+112x^99+89x^100+80x^101+55x^102+22x^103+26x^104+26x^105+28x^106+6x^107+12x^108+4x^110+5x^112+1x^116+1x^118+1x^120

The gray image is a code over GF(2) with n=180, k=12 and d=78.
This code was found by Heurico 1.16 in 4.19 seconds.