Prime p₀= 2689350544554756947 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: conf [MM]
db: batch=82, k=10, 2 10 2 58 2

STPT(10)	2689347429984359099	0 2 48 50 90 92 132 134 180 182	-3114570397848
STPT(10)	2689347573509879057	0 2 12 14 42 44 72 74 84 86	-2971044877890
STPT(10)	2689349094412469969	0 2 18 20 30 32 42 44 60 62	-1450142286978
SPT(18)	2689349334661900039	0 22 30 48 94 100 108 150 210 232 292 334 342 348 394 412 420 442	-1209892856908
SPT(16)	2689349778605747063	0 14 30 44 50 80 108 126 158 176 204 234 240 254 270 284	-765949009884
SPT(16)	2689350469916303761	0 16 28 36 52 120 162 166 252 256 298 366 382 390 402 418	-74638453186
SPT(16)	2689350806131544363	0 8 20 68 74 120 146 156 158 168 194 240 246 294 306 314	261576787416
SPT(16)	2689350999310040281	0 42 60 102 126 130 138 142 156 160 168 172 196 238 256 298	454755283334
SPT(16)	2689351456120328737	0 34 70 72 82 84 112 154 162 204 232 234 244 246 282 316	911565571790
TPT(14)	2689351491445664579	0 2 30 32 42 44 78 80 120 122 162 164 198 200	946890907632
STPT(10)	2689351491445664621	0 2 36 38 78 80 120 122 156 158	946890907674