Prime p₀= 2676423072860950727 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: raddoc
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2676421314476315479	0 10 22 28 40 42 54 90 142 178 190 192 204 210 222 232	-1758384635248
SPT(16)	2676421551631624103	0 14 74 128 164 168 198 206 258 266 296 300 336 390 450 464	-1521229326624
SPT(16)	2676421850612066327	0 2 44 66 96 122 140 182 234 276 294 320 350 372 414 416	-1222248884400
SPT(16)	2676422037580158601	0 6 42 66 70 76 100 126 166 192 216 222 226 250 286 292	-1035280792126
SPT(18)	2676422326012559477	0 20 44 114 140 170 174 182 192 194 204 212 216 246 272 342 366 386	-746848391250
STPT(10)	2676422930602927577	0 2 30 32 42 44 54 56 84 86	-142258023150
SPT(16)	2676423154461328381	0 40 70 72 90 106 120 132 196 208 222 238 256 258 288 328	81600377654
STPT(10)	2676423297570881099	0 2 42 44 90 92 138 140 180 182	224709930372
STPT(10)	2676423607597335719	0 2 12 14 30 32 48 50 60 62	534736384992
SPT(16)	2676423880316989217	0 20 44 56 72 104 120 122 174 176 192 224 240 252 276 296	807456038490
SPT(16)	2676423898549426747	0 12 46 82 100 120 154 166 270 282 316 336 354 390 424 436	825688476020