Prime p₀= 2598318303900228821 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: [AF>Le_Pommier] Jerome_C2005
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2598316432024447201	0 28 36 58 60 72 138 156 172 190 256 268 270 292 300 328	-1871875781620
STPT(10)	2598316561262780087	0 2 30 32 72 74 114 116 144 146	-1742637448734
SPT(16)	2598316669649113177	0 30 34 46 70 72 100 156 160 216 244 246 270 282 286 316	-1634251115644
STPT(10)	2598316771899763919	0 2 42 44 90 92 138 140 180 182	-1532000464902
SPT(16)	2598316875521376923	0 30 56 60 68 90 138 140 174 176 224 246 254 258 284 314	-1428378851898
STPT(10)	2598316915454864951	0 2 6 8 48 50 90 92 96 98	-1388445363870
TPT(14)	2598318488039541257	0 2 72 74 84 86 102 104 132 134 210 212 222 224	184139312436
SPT(16)	2598318629199845059	0 28 54 132 138 144 190 250 252 312 358 364 370 448 474 502	325299616238
SPT(16)	2598318665738880137	0 30 36 50 86 92 102 132 224 254 264 270 306 320 326 356	361838651316
STPT(10)	2598319237778618087	0 2 30 32 42 44 54 56 84 86	933878389266
STPT(12)	2598319606740506447	0 2 12 14 84 86 120 122 192 194 204 206	1302840277626