Prime p₀= 798371814749777249 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: jozef j
db: batch=73, k=10, 2 16 2 40 2

SPT(16)	798370809383319841	0 36 40 78 88 100 198 238 258 298 396 408 418 456 460 496	-1005366457408
STPT(10)	798370882278787799	0 2 42 44 60 62 78 80 120 122	-932470989450
SPT(16)	798371267469641771	0 20 68 78 96 176 180 188 288 296 300 380 398 408 456 476	-547280135478
SPT(16)	798371332825242109	0 72 94 120 138 162 178 208 234 264 280 304 322 348 370 442	-481924535140
SPT(16)	798371395477095217	0 12 16 72 142 186 196 204 232 240 250 294 364 420 424 436	-419272682032
SPT(16)	798371461449952969	0 22 24 52 90 112 148 192 220 264 300 322 360 388 390 412	-353299824280
STPT(10)	798371829470928899	0 2 18 20 30 32 42 44 60 62	14721151650
SPT(16)	798372003874070089	0 10 34 70 84 94 114 144 244 274 294 304 318 354 378 388	189124292840
SPT(16)	798372059707388401	0 22 72 118 126 132 148 156 202 210 226 232 240 286 336 358	244957611152
STPT(10)	798372171958838507	0 2 30 32 60 62 90 92 120 122	357209061258
SPT(16)	798372221619492491	0 2 20 26 30 96 156 168 170 182 242 308 312 318 336 338	406869715242