Prime p₀= 799783292781120017 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Boliver
db: batch=73, k=10, 2 28 2 10 2

STPT(10)	799781236443701507	0 2 30 32 72 74 114 116 144 146	-2056337418510
STPT(10)	799781271074492261	0 2 36 38 78 80 120 122 156 158	-2021706627756
STPT(10)	799781748964001861	0 2 30 32 78 80 126 128 156 158	-1543817118156
STPT(10)	799781952596463827	0 2 42 44 72 74 102 104 144 146	-1340184656190
SPT(16)	799781966077560449	0 12 44 54 84 98 114 128 144 158 174 188 218 228 260 272	-1326703559568
SPT(16)	799782750682247671	0 6 30 66 100 118 132 160 198 226 240 258 292 328 352 358	-542098872346
SPT(20)	799783417272974807	0 2 14 26 72 162 180 200 260 264 392 396 456 476 494 584 630 642 654 656	124491854790
SPT(16)	799783586403479323	0 6 28 94 100 126 130 148 156 174 178 204 210 276 298 304	293622359306
SPT(16)	799783716154318759	0 24 28 42 64 70 232 262 300 330 492 498 520 534 538 562	423373198742
SPT(16)	799783780482006379	0 12 34 48 72 114 132 142 180 190 208 250 274 288 310 322	487700886362
STPT(10)	799783831287738887	0 2 30 32 102 104 174 176 204 206	538506618870