Prime p₀= 1376859218293259807 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: Theadalus
db: batch=77, k=10, 2 10 2 28 2

SPT(16)	1376857946878355489	0 30 38 80 92 98 108 192 230 314 324 330 342 384 392 422	-1271414904318
STPT(10)	1376858105291276759	0 2 48 50 90 92 132 134 180 182	-1113001983048
SPT(16)	1376858236400845339	0 18 30 52 58 108 154 190 192 228 274 324 330 352 364 382	-981892414468
SPT(16)	1376858939850362263	0 58 60 84 100 120 136 150 184 198 214 234 250 274 276 334	-278442897544
STPT(10)	1376858976369687719	0 2 18 20 30 32 42 44 60 62	-241923572088
SPT(16)	1376858984250406499	0 24 44 72 140 152 162 170 174 182 192 204 272 300 320 344	-234042853308
SPT(16)	1376859232023013327	0 40 72 106 124 154 166 180 196 210 222 252 270 304 336 376	13729753520
STPT(10)	1376859306871541159	0 2 42 44 120 122 198 200 240 242	88578281352
SPT(16)	1376859429440233523	0 36 68 98 108 114 116 140 264 288 290 296 306 336 368 404	211146973716
SPT(20)	1376859517399283543	0 6 38 44 48 54 90 98 108 140 264 296 306 314 350 356 360 366 398 404	299106023736
SPT(16)	1376859565222336549	0 4 12 102 118 132 154 160 222 228 250 264 280 370 378 382	346929076742