Prime p₀= 2531127664548363887 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: [SG]ATA-Rolf
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2531126539634012381	0 42 48 110 132 140 152 162 278 288 300 308 330 392 398 440	-1124914351506
STPT(10)	2531126785092126581	0 2 6 8 48 50 90 92 96 98	-879456237306
SPT(16)	2531126790076309577	0 14 20 62 80 84 150 152 162 164 230 234 252 294 300 314	-874472054310
STPT(10)	2531126924612085221	0 2 30 32 120 122 210 212 240 242	-739936278666
SPT(16)	2531127151676136779	0 38 98 104 108 122 132 134 138 140 150 164 168 174 234 272	-512872227108
STPT(10)	2531127555628550141	0 2 6 8 48 50 90 92 96 98	-108919813746
SPT(16)	2531127911110751431	0 6 10 48 90 136 156 162 196 202 222 268 310 348 352 358	246562387544
SPT(16)	2531127949059159119	0 48 54 90 92 98 104 132 230 258 264 270 272 308 314 362	284510795232
SPT(16)	2531128099707826453	0 6 24 58 136 174 220 246 268 294 340 378 456 490 508 514	435159462566
STPT(10)	2531128131873595997	0 2 12 14 42 44 72 74 84 86	467325232110
STPT(10)	2531128302512446331	0 2 30 32 60 62 90 92 120 122	637964082444