Prime p₀= 798358923488996237 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)	798358178902953829	0 4 12 18 30 42 70 84 88 102 130 142 154 160 168 172	-744586042408
SPT(16)	798358336483597961	0 42 60 96 122 126 140 156 206 222 236 240 266 302 320 362	-587005398276
SPT(18)	798358362430872361	0 10 16 40 88 96 108 196 208 228 240 328 340 348 396 420 426 436	-561058123876
SPT(16)	798358503718724057	0 44 110 182 266 300 306 350 396 440 446 480 564 636 702 746	-419770272180
SPT(16)	798358514076545011	0 16 76 130 150 196 240 258 280 298 342 388 408 462 522 538	-409412451226
SPT(16)	798358601691335939	0 2 8 38 72 78 80 90 122 132 134 140 174 204 210 212	-321797660298
SPT(16)	798359078402108479	0 12 18 22 40 64 72 154 198 280 288 312 330 334 340 352	154913112242
STPT(10)	798359291342227631	0 2 30 32 78 80 126 128 156 158	367853231394
STPT(10)	798360152751452957	0 2 30 32 42 44 54 56 84 86	1229262456720
SPT(16)	798360321753740761	0 22 28 46 66 100 120 198 220 298 318 352 372 390 396 418	1398264744524
SPT(16)	798360369285308041	0 18 66 90 102 112 142 156 172 186 216 226 238 262 310 328	1445796311804