Prime p₀= 2668012378020413297 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-FC] hl
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2668010925183047273	0 36 56 78 96 98 120 188 216 284 306 308 326 348 368 404	-1452837366024
SPT(16)	2668010988782077681	0 42 46 58 70 72 100 136 162 198 226 228 240 252 256 298	-1389238335616
STPT(10)	2668011331283713769	0 2 12 14 90 92 168 170 180 182	-1046736699528
TPT(14)	2668011360773401961	0 2 168 170 216 218 360 362 420 422 468 470 498 500	-1017247011336
STPT(10)	2668011816549375419	0 2 12 14 30 32 48 50 60 62	-561471037878
SPT(16)	2668011897689056147	0 10 22 40 60 76 94 102 154 162 180 196 216 234 246 256	-480331357150
STPT(10)	2668012408168027169	0 2 18 20 30 32 42 44 60 62	30147613872
SPT(16)	2668012489959777479	0 8 30 44 80 122 134 150 182 198 210 252 288 302 324 332	111939364182
STPT(10)	2668012822323676127	0 2 24 26 42 44 60 62 84 86	444303262830
STPT(10)	2668012958109309929	0 2 18 20 30 32 42 44 60 62	580088896632
SPT(16)	2668013103888951437	0 2 36 42 72 80 90 146 156 212 222 230 260 266 300 302	725868538140