The generator matrix

 1  0  0  1  1  1  1  1  1  1  1  1  1  1 2a+2  1 2a+2  1  1  1  0  1  2  1  2  1  1  0  1  1  1  0  1  1  1  1  1  1  1  1  1  1  1  2  1  1  2  1  1  1  1 2a  1  1  1 2a+2  2  1  1  1  0  1  1  1  1  1 2a+2  1  1  1  1  1 2a  1
 0  1  0  0  0 2a+2  1 3a+2 3a+3 2a+3 2a+3  a 3a+2 3a+3  1 a+1  1  1 a+1  a  1 3a+3  1 3a+1 2a  a  2  1  3 2a+2 3a+2  1 a+3 3a  2 2a+1 a+1 2a+3 2a+1 a+2  2 2a+1  a  1 2a+3 a+3  1  a 2a a+1  3  0 2a 2a+3  2  1 2a  3 a+1 3a  1 3a+2  2  2 2a+2  1  1 a+3 a+2 2a+2 3a+3 a+2  1  0
 0  0  1  1  a 3a+3  1  3  1  a  0  2 3a+3 a+3 3a+3 3a  3 3a+3  0 a+2  a a+3  2 2a+1  1 2a+1 a+2 a+3 3a+2 a+1 a+3 2a+1 2a  0  1 2a+2 a+2 a+1  3  a 2a+2 a+3  a  2  0 3a+1 3a 2a+1 3a+3 2a 3a  1 2a+3  3  2 3a+3  1  3  3 3a+1 2a+1 2a+1 2a+3 2a 3a+3 2a+3 3a a+1 a+2 2a+2  0 2a+2 3a  0
 0  0  0 2a+2  0  0  0  2  2  2 2a+2 2a 2a+2 2a 2a+2 2a 2a  2 2a+2 2a  2 2a  0 2a+2 2a+2  0  2  0 2a+2  0 2a+2 2a  2  0 2a 2a  0  2 2a  0  2  0  2 2a 2a 2a+2 2a  2 2a+2  2 2a+2 2a+2  2 2a+2  2  2  0 2a+2  2 2a  2 2a 2a+2 2a+2  0 2a+2  2 2a  0 2a+2  2 2a  0  2
 0  0  0  0  2 2a+2 2a  2 2a+2 2a 2a  2  2 2a 2a  0  2 2a+2  2 2a  0 2a+2 2a+2 2a+2  2 2a+2  2  2  0 2a 2a+2 2a  0 2a  2 2a 2a+2  2  0 2a+2 2a 2a 2a+2  0  2 2a+2  2 2a 2a 2a+2 2a 2a+2  2 2a+2 2a+2  0 2a+2  2  2 2a 2a 2a  2 2a+2  2 2a 2a+2  0 2a  0  2  2  0  0

generates a code of length 74 over GR(16,4) who´s minimum homogenous weight is 204.

Homogenous weight enumerator: w(x)=1x^0+177x^204+120x^205+96x^206+696x^207+1212x^208+1056x^209+252x^210+1848x^211+2712x^212+1824x^213+384x^214+3036x^215+3705x^216+2484x^217+540x^218+3828x^219+5016x^220+2652x^221+492x^222+4284x^223+4716x^224+3012x^225+564x^226+4032x^227+4392x^228+2472x^229+408x^230+2676x^231+2484x^232+1356x^233+276x^234+948x^235+831x^236+324x^237+60x^238+156x^239+249x^240+60x^241+39x^244+15x^248+24x^252+12x^256+3x^260+6x^264+6x^268

The gray image is a code over GF(4) with n=296, k=8 and d=204.
This code was found by Heurico 1.16 in 22.2 seconds.