Prime p₀= 2627311282356619877 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: [SG-FC] hl
db: batch=82, k=10, 2 40 2 28 2

SPT(16)	2627309227570078201	0 12 30 42 76 90 142 192 226 276 328 342 376 388 406 418	-2054786541676
SPT(16)	2627309414258708351	0 8 20 72 86 96 120 138 170 188 212 222 236 288 300 308	-1868097911526
TPT(14)	2627309560344489719	0 2 12 14 18 20 72 74 180 182 360 362 408 410	-1722012130158
SPT(16)	2627309799612295841	0 18 32 66 86 110 128 138 140 150 168 192 212 246 260 278	-1482744324036
TPT(14)	2627310451619172287	0 2 12 14 24 26 180 182 204 206 210 212 222 224	-830737447590
STPT(10)	2627310727843498391	0 2 30 32 60 62 90 92 120 122	-554513121486
STPT(10)	2627311302497196191	0 2 30 32 60 62 90 92 120 122	20140576314
SPT(16)	2627311420655961601	0 28 58 60 70 102 130 162 196 228 256 288 298 300 330 358	138299341724
STPT(10)	2627311514823353087	0 2 30 32 72 74 114 116 144 146	232466733210
STPT(10)	2627311854085451747	0 2 30 32 42 44 54 56 84 86	571728831870
SPT(16)	2627312156000557163	0 36 84 158 168 180 210 228 266 284 314 326 336 410 458 494	873643937286