Prime p₀= 2830578027258978551 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: [SG-FC] hl
db: batch=82, k=10, 2 34 2 40 2

SPT(16)	2830576382590009189	0 42 58 64 70 90 94 112 120 138 142 162 168 174 190 232	-1644668969362
SPT(16)	2830576523321385233	0 44 80 84 96 110 114 170 174 230 234 248 260 264 300 344	-1503937593318
SPT(16)	2830576539374806511	0 20 120 122 128 150 170 198 302 330 350 372 378 380 480 500	-1487884172040
SPT(16)	2830576780871510051	0 12 90 128 140 182 192 210 260 278 288 330 342 380 458 470	-1246387468500
SPT(16)	2830576856799514219	0 12 28 34 40 60 82 90 172 180 202 222 228 234 250 262	-1170459464332
SPT(16)	2830577194387715209	0 30 40 48 54 78 82 94 138 150 154 178 184 192 202 232	-832871263342
SPT(16)	2830578531709367981	0 12 20 38 50 68 78 122 138 182 192 210 222 240 248 260	504450389430
TPT(14)	2830579234158804197	0 2 12 14 24 26 114 116 210 212 240 242 264 266	1206899825646
SPT(16)	2830579613697088541	0 12 26 30 38 68 78 198 260 380 390 420 428 432 446 458	1586438109990
STPT(10)	2830579802976780269	0 2 48 50 60 62 72 74 120 122	1775717801718
STPT(10)	2830580153289512807	0 2 30 32 42 44 54 56 84 86	2126030534256