The generator matrix

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

generates a code of length 96 over Z4 who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+96x^78+100x^79+349x^80+428x^81+738x^82+804x^83+1026x^84+1168x^85+1557x^86+1636x^87+1918x^88+2262x^89+2550x^90+2848x^91+2998x^92+3446x^93+3231x^94+3634x^95+3509x^96+3690x^97+3448x^98+3384x^99+3177x^100+3054x^101+2664x^102+2322x^103+2079x^104+1760x^105+1444x^106+988x^107+930x^108+654x^109+481x^110+350x^111+297x^112+146x^113+150x^114+56x^115+75x^116+30x^117+18x^118+6x^119+21x^120+2x^121+6x^122+2x^124+2x^128+1x^134

The gray image is a code over GF(2) with n=192, k=16 and d=78.
This code was found by Heurico 1.13 in 408 seconds.