Prime p₀= 2121704590787870129 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: Time_Traveler
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2121702898879958437	0 16 24 54 82 84 96 112 234 250 262 264 292 322 330 346	-1691907911692
STPT(10)	2121703001987787269	0 2 18 20 30 32 42 44 60 62	-1588800082860
TPT(14)	2121703368117323801	0 2 18 20 30 32 126 128 150 152 156 158 186 188	-1222670546328
STPT(12)	2121703498189542689	0 2 30 32 42 44 78 80 90 92 120 122	-1092598327440
SPT(16)	2121703725248015003	0 50 90 110 120 138 140 156 278 294 296 314 324 344 384 434	-865539855126
SPT(16)	2121704428237557641	0 2 8 30 32 62 78 98 192 212 228 258 260 282 288 290	-162550312488
SPT(16)	2121704846605476481	0 52 66 72 108 142 172 202 276 306 336 370 406 412 426 478	255817606352
STPT(10)	2121705856670600621	0 2 36 38 78 80 120 122 156 158	1265882730492
SPT(16)	2121706023920008787	0 30 44 86 140 144 204 216 254 266 326 330 384 426 440 470	1433132138658
SPT(16)	2121706141382804771	0 2 6 12 78 92 120 186 212 278 306 320 386 392 396 398	1550594934642
SPT(16)	2121706154174929709	0 2 38 80 84 90 114 132 140 158 182 188 192 234 270 272	1563387059580