Prime p₀= 2377288984664716427 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-2W]Kurzer
db: batch=81, k=10, 2 28 2 10 2

STPT(10)	2377286811113557919	0 2 42 44 120 122 198 200 240 242	-2173551158508
SPT(16)	2377287321005160167	0 2 36 60 80 86 90 92 114 116 120 126 146 170 204 206	-1663659556260
STPT(10)	2377288031979380867	0 2 12 14 42 44 72 74 84 86	-952685335560
STPT(10)	2377288039227525329	0 2 12 14 90 92 168 170 180 182	-945437191098
STPT(10)	2377288596513196271	0 2 6 8 48 50 90 92 96 98	-388151520156
SPT(16)	2377288695620416373	0 38 66 96 110 200 228 230 264 266 294 384 398 428 456 494	-289044300054
STPT(10)	2377289023959950291	0 2 36 38 78 80 120 122 156 158	39295233864
SPT(16)	2377289129767836259	0 10 22 28 48 54 70 78 154 162 178 184 204 210 222 232	145103119832
SPT(16)	2377289246492325089	0 2 60 114 152 210 234 270 344 380 404 462 500 554 612 614	261827608662
SPT(16)	2377289733877499563	0 28 58 78 124 126 148 150 154 156 178 180 226 246 276 304	749212783136
SPT(16)	2377289822368579837	0 24 90 120 144 154 160 190 276 306 312 322 346 376 442 466	837703863410