Prime p₀= 1260869480575135799 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)	1260868694130560941	0 48 60 72 82 88 112 126 142 156 180 186 196 208 220 268	-786444574858
SPT(16)	1260868777504023133	0 4 10 28 70 78 84 88 150 154 160 168 210 228 234 238	-703071112666
SPT(16)	1260869006500570111	0 12 22 52 60 66 150 168 190 208 292 298 306 336 346 358	-474074565688
STPT(10)	1260869143508137529	0 2 42 44 60 62 78 80 120 122	-337066998270
SPT(16)	1260869169847347029	0 8 30 50 62 84 132 134 138 140 188 210 222 242 264 272	-310727788770
SPT(16)	1260869277688870567	0 4 40 46 70 76 132 142 144 154 210 216 240 246 282 286	-202886265232
STPT(10)	1260869837343514367	0 2 30 32 72 74 114 116 144 146	356768378568
STPT(10)	1260869847195078059	0 2 18 20 30 32 42 44 60 62	366619942260
STPT(10)	1260870283321281299	0 2 18 20 30 32 42 44 60 62	802746145500
SPT(16)	1260870321204054167	0 24 66 74 80 96 110 144 266 300 314 330 336 344 386 410	840628918368
SPT(16)	1260870476777124463	0 4 46 90 136 144 148 178 246 276 280 288 334 378 420 424	996201988664