Prime p₀= 796399418937706019 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 122
Found by: [SG]FX
db: batch=73, k=10, 2 40 2 16 2

SPT(16)	796398007833736613	0 50 54 104 110 134 180 236 324 380 426 450 456 506 510 560	-1411103969406
SPT(16)	796398097676404087	0 12 34 40 46 72 90 96 160 166 184 210 216 222 244 256	-1321261301932
SPT(16)	796398287159593501	0 6 108 138 172 258 262 286 432 456 460 546 580 610 712 718	-1131778112518
STPT(10)	796398815913094151	0 2 6 8 18 20 30 32 36 38	-603024611868
TPT(14)	796399023813892787	0 2 54 56 114 116 162 164 264 266 324 326 330 332	-395123813232
SPT(16)	796399393577762977	0 4 16 66 100 150 156 160 210 214 220 270 304 354 366 370	-25359943042
STPT(10)	796399523359526699	0 2 18 20 30 32 42 44 60 62	104421820680
TPT(14)	796399642603610627	0 2 84 86 114 116 150 152 162 164 234 236 264 266	223665904608
STPT(10)	796399767549000617	0 2 30 32 60 62 90 92 120 122	348611294598
SPT(16)	796399928814798587	0 2 6 14 54 56 80 90 146 156 180 182 222 230 234 236	509877092568
STPT(10)	796400229642198191	0 2 48 50 108 110 168 170 216 218	810704492172