Prime p₀= 798360152751452957 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: Frank [NT]
db: batch=73, k=10, 2 28 2 10 2

SPT(16)	798358503718724057	0 44 110 182 266 300 306 350 396 440 446 480 564 636 702 746	-1649032728900
SPT(16)	798358514076545011	0 16 76 130 150 196 240 258 280 298 342 388 408 462 522 538	-1638674907946
SPT(16)	798358601691335939	0 2 8 38 72 78 80 90 122 132 134 140 174 204 210 212	-1551060117018
STPT(10)	798358923488996237	0 2 30 32 42 44 54 56 84 86	-1229262456720
SPT(16)	798359078402108479	0 12 18 22 40 64 72 154 198 280 288 312 330 334 340 352	-1074349344478
STPT(10)	798359291342227631	0 2 30 32 78 80 126 128 156 158	-861409225326
SPT(16)	798360321753740761	0 22 28 46 66 100 120 198 220 298 318 352 372 390 396 418	169002287804
SPT(16)	798360369285308041	0 18 66 90 102 112 142 156 172 186 216 226 238 262 310 328	216533855084
SPT(16)	798360484708846889	0 42 44 48 78 98 110 128 144 162 174 194 224 228 230 272	331957393932
SPT(16)	798360585135948377	0 36 92 110 126 134 152 176 180 204 222 230 246 264 320 356	432384495420
STPT(10)	798360923491410899	0 2 42 44 90 92 138 140 180 182	770739957942