Prime p₀= 1212114870196043249 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: Theadalus
db: batch=77, k=10, 2 40 2 16 2

SPT(16)	1212113054992563791	0 2 30 62 72 90 96 116 156 176 182 200 210 242 270 272	-1815203479458
STPT(10)	1212113257645892429	0 2 18 20 60 62 102 104 120 122	-1612550150820
SPT(16)	1212113359282953997	0 16 30 90 102 126 162 172 174 184 220 244 256 316 330 346	-1510913089252
STPT(10)	1212113723554874681	0 2 30 32 78 80 126 128 156 158	-1146641168568
SPT(16)	1212114604502528579	0 2 12 20 42 98 110 114 338 342 354 410 432 440 450 452	-265693514670
STPT(10)	1212114842177486591	0 2 36 38 78 80 120 122 156 158	-28018556658
SPT(16)	1212114917542694899	0 28 34 42 100 112 118 184 198 264 270 282 340 348 354 382	47346651650
SPT(20)	1212114938533468531	0 22 28 30 42 70 90 130 162 168 190 196 228 268 288 316 328 330 336 358	68337425282
STPT(10)	1212115060309894847	0 2 12 14 42 44 72 74 84 86	190113851598
SPT(16)	1212115320236881673	0 6 20 26 68 90 116 144 170 198 224 246 288 294 308 314	450040838424
SPT(16)	1212116755689727079	0 2 38 44 62 108 150 170 192 212 254 300 318 324 360 362	1885493683830