Prime p₀= 1282484261174644667 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Cruncher Pete
db: batch=77, k=10, 2 10 2 28 2

SPT(16)	1282482712523368297	0 22 42 54 82 90 112 120 166 174 196 204 232 244 264 286	-1548651276370
STPT(10)	1282482871618051811	0 2 36 38 78 80 120 122 156 158	-1389556592856
SPT(16)	1282482932671177163	0 86 98 164 198 210 224 264 290 330 344 356 390 456 468 554	-1328503467504
TPT(14)	1282483164438625211	0 2 60 62 108 110 240 242 270 272 306 308 390 392	-1096736019456
TPT(14)	1282483329939000197	0 2 54 56 72 74 84 86 114 116 240 242 282 284	-931235644470
SPT(16)	1282483492881124601	0 42 78 86 90 92 152 158 240 246 306 308 312 320 356 398	-768293520066
SPT(16)	1282484320911766019	0 20 24 78 138 150 168 194 204 230 248 260 320 374 378 398	59737121352
SPT(16)	1282484569457161003	0 40 48 76 138 150 168 196 258 286 304 316 378 406 414 454	308282516336
STPT(10)	1282484713906895669	0 2 18 20 30 32 42 44 60 62	452732251002
STPT(10)	1282484883588914189	0 2 18 20 30 32 42 44 60 62	622414269522
SPT(16)	1282484905664254559	0 2 44 50 60 78 170 192 260 282 374 392 402 408 450 452	644489609892