Prime p₀= 745657555351766051 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Theadalus
db: batch=73, k=10, 2 34 2 40 2

STPT(10)	745655681862310337	0 2 30 32 42 44 54 56 84 86	-1873489455714
STPT(10)	745656525117412451	0 2 6 8 48 50 90 92 96 98	-1030234353600
TPT(14)	745656834420740939	0 2 48 50 72 74 90 92 168 170 210 212 240 242	-720931025112
SPT(18)	745657168887703379	0 2 30 62 110 140 224 264 282 290 308 348 432 462 510 542 570 572	-386464062672
SPT(13)	745657312972895461	0 12 78 90 120 138 150 162 180 210 222 288 300	-242378870590
SPT(16)	745657512764542957	0 46 66 82 96 102 106 112 144 150 154 160 174 190 210 256	-42587223094
STPT(10)	745657627184238911	0 2 6 8 18 20 30 32 36 38	71832472860
SPT(16)	745657815403129067	0 32 74 80 126 132 152 162 164 174 194 200 246 252 294 326	260051363016
SPT(16)	745657911577129357	0 4 16 22 46 60 94 126 130 162 196 210 234 240 252 256	356225363306
STPT(10)	745658107426742561	0 2 6 8 18 20 30 32 36 38	552074976510
STPT(10)	745658405078042579	0 2 12 14 30 32 48 50 60 62	849726276528