Prime p₀= 745658107426742561 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: Theadalus
db: batch=73, k=10, 2 4 2 10 2

SPT(13)	745657312972895461	0 12 78 90 120 138 150 162 180 210 222 288 300	-794453847100
SPT(16)	745657512764542957	0 46 66 82 96 102 106 112 144 150 154 160 174 190 210 256	-594662199604
STPT(10)	745657555351766051	0 2 36 38 78 80 120 122 156 158	-552074976510
STPT(10)	745657627184238911	0 2 6 8 18 20 30 32 36 38	-480242503650
SPT(16)	745657815403129067	0 32 74 80 126 132 152 162 164 174 194 200 246 252 294 326	-292023613494
SPT(16)	745657911577129357	0 4 16 22 46 60 94 126 130 162 196 210 234 240 252 256	-195849613204
STPT(10)	745658405078042579	0 2 12 14 30 32 48 50 60 62	297651300018
SPT(16)	745658411066834387	0 24 26 72 90 110 222 264 332 374 486 506 524 570 572 596	303640091826
SPT(16)	745658619054801251	0 48 56 72 126 132 170 176 252 258 296 302 356 372 380 428	511628058690
SPT(16)	745658693219996419	0 100 114 120 138 154 168 204 238 274 288 304 322 328 342 442	585793253858
STPT(10)	745658745132139637	0 2 30 32 42 44 54 56 84 86	637705397076