Prime p₀= 2668585649327176721 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: RFGuy_KCCO
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2668584563193784957	0 36 52 66 120 124 154 184 192 222 252 256 310 324 340 376	-1086133391764
SPT(16)	2668584601797498691	0 40 42 58 60 88 102 108 130 136 150 178 180 196 198 238	-1047529678030
TPT(14)	2668584739635546617	0 2 30 32 42 44 54 56 222 224 264 266 294 296	-909691630104
STPT(10)	2668584782738424659	0 2 48 50 90 92 132 134 180 182	-866588752062
STPT(10)	2668585354646190167	0 2 24 26 42 44 60 62 84 86	-294680986554
TPT(14)	2668585512146078927	0 2 84 86 120 122 132 134 150 152 162 164 174 176	-137181097794
SPT(16)	2668586557577352751	0 6 10 36 42 52 70 76 126 132 150 160 166 192 196 202	908250176030
SPT(16)	2668586779592338391	0 12 50 72 96 108 140 176 252 288 320 332 356 378 416 428	1130265161670
SPT(16)	2668586810742262181	0 30 32 56 80 146 162 182 276 296 312 378 402 426 428 458	1161415085460
STPT(12)	2668586961295380821	0 2 36 38 48 50 78 80 90 92 126 128	1311968204100
STPT(10)	2668587048010639541	0 2 30 32 60 62 90 92 120 122	1398683462820