Prime p₀= 1156982208378144059 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Megacruncher
db: batch=77, k=10, 2 16 2 10 2

SPT(16)	1156980984278403211	0 12 22 36 42 72 126 196 336 406 460 490 496 510 520 532	-1224099740848
STPT(10)	1156981131405118931	0 2 6 8 18 20 30 32 36 38	-1076973025128
SPT(16)	1156981656696609481	0 36 48 100 118 132 138 156 202 220 226 240 258 310 322 358	-551681534578
SPT(16)	1156981775604133487	0 32 50 56 74 86 92 116 180 204 210 222 240 246 264 296	-432774010572
SPT(16)	1156982065559385853	0 30 64 90 166 196 204 210 244 250 258 288 364 390 424 454	-142818758206
STPT(10)	1156982171099854751	0 2 36 38 78 80 120 122 156 158	-37278289308
SPT(16)	1156982452837622413	0 6 16 18 28 70 100 148 156 204 234 276 286 288 298 304	244459478354
SPT(16)	1156982513039096837	0 44 62 84 86 104 126 132 164 170 192 210 212 234 252 296	304660952778
SPT(16)	1156983119558527307	0 30 56 104 146 170 186 194 246 254 270 294 336 384 410 440	911180383248
SPT(16)	1156983409722064723	0 54 88 94 130 138 144 210 238 304 310 318 354 360 394 448	1201343920664
STPT(10)	1156983620807260187	0 2 30 32 42 44 54 56 84 86	1412429116128