Prime p₀= 822742750002595727 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: marsinph
db: batch=73, k=10, 2 28 2 10 2

SPT(16)	822741971022871807	0 22 34 36 42 52 76 94 102 120 144 154 160 162 174 196	-778979723920
STPT(10)	822742059848443919	0 2 18 20 30 32 42 44 60 62	-690154151808
SPT(16)	822742146673832923	0 28 70 84 88 90 130 136 258 264 304 306 310 324 366 394	-603328762804
SPT(16)	822742442216045107	0 4 16 30 66 102 106 120 136 150 154 190 226 240 252 256	-307786550620
STPT(10)	822742581866925701	0 2 36 38 78 80 120 122 156 158	-168135670026
SPT(16)	822742679596992997	0 16 76 90 124 126 154 162 244 252 280 282 316 330 390 406	-70405602730
SPT(16)	822742799691830737	0 12 24 42 84 100 150 192 214 256 306 322 364 382 394 406	49689235010
SPT(16)	822742880539530299	0 48 108 138 164 230 254 264 368 378 402 468 494 524 584 632	130536934572
SPT(16)	822743373135556799	0 2 54 114 150 180 222 248 264 290 332 362 398 458 510 512	623132961072
TPT(14)	822743465660659757	0 2 54 56 90 92 240 242 264 266 282 284 324 326	715658064030
SPT(16)	822743596263514573	0 30 36 46 58 76 114 120 154 160 198 216 228 238 244 274	846260918846