Prime p₀= 746573236377665027 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 40 2 40 2 58 2 (?)
a_n: 0 2 60 62 102 104 144 146 204 206
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: 206
Found by: Theadalus
db: batch=73, k=10, 2 58 2 40 2

SPT(16)	746571863207008691	0 80 102 132 140 150 206 212 396 402 458 468 476 506 528 608	-1373170656336
SPT(16)	746571984930413143	0 34 64 90 150 160 168 214 234 280 288 298 358 384 414 448	-1251447251884
SPT(16)	746572488812673181	0 36 40 52 70 72 112 142 150 180 220 222 240 252 256 292	-747564991846
TPT(14)	746572791835237331	0 2 18 20 30 32 150 152 156 158 198 200 228 230	-444542427696
TPT(14)	746573018713417109	0 2 102 104 132 134 198 200 222 224 258 260 342 344	-217664247918
SPT(16)	746573112700926097	0 10 30 42 82 96 126 156 166 196 226 240 280 292 312 322	-123676738930
STPT(10)	746573451077374169	0 2 18 20 30 32 42 44 60 62	214699709142
SPT(16)	746573810970817997	0 6 56 122 146 180 194 206 300 312 326 360 384 450 500 506	574593152970
STPT(10)	746573850465176099	0 2 42 44 60 62 78 80 120 122	614087511072
SPT(16)	746574225391410679	0 28 30 58 142 154 160 168 214 222 228 240 324 352 354 382	989013745652
STPT(10)	746574508381377857	0 2 30 32 42 44 54 56 84 86	1272003712830