Prime p₀= 1245116222103681227 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Megacruncher
db: batch=77, k=10, 2 22 2 16 2

SPT(16)	1245115235437969141	0 22 30 60 70 88 108 112 138 142 162 180 190 220 228 250	-986665712086
SPT(16)	1245115355213015071	0 66 70 100 112 178 196 238 240 282 300 366 378 408 412 478	-866890666156
SPT(16)	1245115547705486959	0 22 34 64 78 112 132 160 162 190 210 244 258 288 300 322	-674398194268
STPT(10)	1245115664617458419	0 2 42 44 60 62 78 80 120 122	-557486222808
STPT(10)	1245115841893009781	0 2 30 32 60 62 90 92 120 122	-380210671446
STPT(10)	1245115907305175999	0 2 42 44 60 62 78 80 120 122	-314798505228
SPT(16)	1245117007798934393	0 36 90 116 140 144 168 194 210 236 260 264 288 314 368 404	785695253166
STPT(10)	1245117025047055241	0 2 6 8 48 50 90 92 96 98	802943374014
SPT(16)	1245117298576449161	0 26 66 108 110 162 210 212 246 248 296 348 350 392 432 458	1076472767934
SPT(16)	1245117311699333197	0 12 16 46 66 114 156 192 214 250 292 340 360 390 394 406	1089595651970
STPT(12)	1245117402023093189	0 2 42 44 48 50 132 134 138 140 180 182	1179919411962