Prime p₀= 1251843676249357577 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: Laurent Cheylat
db: batch=77, k=10, 2 10 2 28 2

STPT(10)	1251842369445053327	0 2 30 32 42 44 54 56 84 86	-1306804304250
SPT(16)	1251842595111332473	0 90 166 190 204 226 274 280 294 300 348 370 384 408 484 574	-1081138025104
SPT(16)	1251842630524836809	0 8 84 90 92 98 110 114 158 162 174 180 182 188 264 272	-1045724520768
SPT(16)	1251843082241301587	0 42 86 176 200 242 246 312 350 416 420 462 486 576 620 662	-594008055990
SPT(16)	1251843459178306591	0 6 58 78 88 136 156 168 178 190 210 258 268 288 340 346	-217071050986
STPT(10)	1251843616331442887	0 2 30 32 42 44 54 56 84 86	-59917914690
SPT(16)	1251843704947450829	0 14 32 74 104 120 152 162 200 210 242 258 288 330 348 362	28698093252
SPT(16)	1251844094633109119	0 2 18 24 80 90 120 158 174 212 242 252 308 314 330 332	418383751542
SPT(16)	1251844251026923781	0 42 62 90 126 132 146 168 170 192 206 212 248 276 296 338	574777566204
SPT(16)	1251844895127094223	0 50 86 96 120 134 138 146 168 176 180 194 218 228 264 314	1218877736646
SPT(16)	1251845173110663331	0 22 28 78 106 160 162 168 250 256 258 312 340 390 396 418	1496861305754