Prime p₀= 2291125876455293231 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 124 2 130 2 130 2 124 2 (?)
a_n: 0 2 126 128 258 260 390 392 516 518
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: 518
Found by: Orange Kid
db: batch=81, k=10, 2 124 2 130 2

STPT(10)	2291124321866670137	0 2 12 14 42 44 72 74 84 86	-1554588623094
SPT(16)	2291124580301934787	0 4 46 70 72 82 102 106 120 124 144 154 156 180 222 226	-1296153358444
SPT(16)	2291124780119256959	0 14 20 30 38 48 54 72 80 98 104 114 122 132 138 152	-1096336036272
STPT(10)	2291125001964942347	0 2 12 14 42 44 72 74 84 86	-874490350884
SPT(16)	2291125163107939061	0 36 60 66 72 116 126 156 212 242 252 296 302 308 332 368	-713347354170
SPT(16)	2291125618180770829	0 28 54 58 64 72 82 100 132 150 160 168 174 178 204 232	-258274522402
SPT(16)	2291126275085715901	0 12 18 22 28 60 96 130 138 172 208 240 246 250 256 268	398630422670
SPT(16)	2291126579093855401	0 30 72 108 112 148 150 166 192 208 210 246 250 286 328 358	702638562170
STPT(10)	2291126696576228339	0 2 48 50 90 92 132 134 180 182	820120935108
STPT(10)	2291127075884189297	0 2 60 62 72 74 84 86 144 146	1199428896066
SPT(18)	2291127363420747127	0 16 24 34 52 90 126 132 154 162 184 190 226 264 282 292 300 316	1486965453896