Prime p₀= 2787626012765093411 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: JayPi
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2787625120754503063	0 40 48 114 154 168 198 238 306 346 376 390 430 496 504 544	-892010590348
SPT(16)	2787625164255323369	0 8 20 24 38 80 84 132 260 308 312 354 368 372 384 392	-848509770042
STPT(12)	2787625254511648247	0 2 12 14 30 32 72 74 90 92 102 104	-758253445164
SPT(16)	2787625502032707277	0 34 76 106 120 186 216 232 294 310 340 406 420 450 492 526	-510732386134
STPT(12)	2787625616313402167	0 2 42 44 84 86 90 92 132 134 174 176	-396451691244
SPT(16)	2787625974836504141	0 8 18 32 42 96 116 138 140 162 182 236 246 260 270 278	-37928589270
TPT(14)	2787626035290104579	0 2 18 20 102 104 180 182 240 242 432 434 492 494	22525011168
SPT(16)	2787626243469853537	0 34 42 52 64 90 120 126 160 166 196 222 234 244 252 286	230704760126
SPT(16)	2787626308770368281	0 60 72 108 132 160 178 196 282 300 318 346 370 406 418 478	296005274870
SPT(16)	2787626407146332837	0 24 44 56 74 86 114 126 224 236 264 276 294 306 326 350	394381239426
STPT(10)	2787626587643565137	0 2 30 32 42 44 54 56 84 86	574878471726