Prime p₀= 2709193823225149199 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: JayPi
db: batch=82, k=10, 2 16 2 40 2

SPT(16)	2709192874514358097	0 6 22 34 40 42 106 180 196 270 334 336 342 354 370 376	-948710791102
SPT(16)	2709192904173034319	0 8 42 50 60 78 80 84 98 102 104 122 132 140 174 182	-919052114880
STPT(10)	2709193330210576367	0 2 30 32 72 74 114 116 144 146	-493014572832
SPT(16)	2709193411047918029	0 2 8 30 44 50 72 78 104 110 132 138 152 174 180 182	-412177231170
STPT(10)	2709193412289610847	0 2 30 32 42 44 54 56 84 86	-410935538352
STPT(10)	2709193500882561377	0 2 24 26 42 44 60 62 84 86	-322342587822
TPT(14)	2709194029749153017	0 2 120 122 162 164 222 224 282 284 372 374 450 452	206524003818
TPT(14)	2709194133004322177	0 2 42 44 60 62 90 92 102 104 210 212 222 224	309779172978
SPT(16)	2709194375556589549	0 12 24 72 84 94 100 150 172 222 228 238 250 298 310 322	552331440350
STPT(10)	2709194388196565387	0 2 30 32 42 44 54 56 84 86	564971416188
SPT(16)	2709194588085321181	0 10 30 126 156 196 208 228 250 270 282 322 352 448 468 478	764860171982