Prime p₀= 1291146410523723569 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
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: 62
Found by: mikey
db: batch=77, k=10, 2 10 2 16 2

STPT(10)	1291145156333643431	0 2 6 8 18 20 30 32 36 38	-1254190080138
SPT(18)	1291145855388334111	0 6 22 36 70 90 102 108 112 126 130 136 148 168 202 216 232 238	-555135389458
SPT(16)	1291145926016971799	0 14 68 78 90 102 120 180 272 332 350 362 374 384 438 452	-484506751770
SPT(16)	1291145955177679121	0 2 42 48 72 80 108 126 152 170 198 206 230 236 276 278	-455346044448
STPT(10)	1291146084088508897	0 2 60 62 72 74 84 86 144 146	-326435214672
TPT(14)	1291146242249496089	0 2 18 20 42 44 72 74 78 80 90 92 120 122	-168274227480
STPT(10)	1291146447906897311	0 2 36 38 78 80 120 122 156 158	37383173742
STPT(10)	1291146524019012887	0 2 30 32 72 74 114 116 144 146	113495289318
SPT(16)	1291146573006152231	0 66 96 140 152 158 206 210 248 252 300 306 318 362 392 458	162482428662
STPT(10)	1291147004832910409	0 2 18 20 30 32 42 44 60 62	594309186840
STPT(10)	1291147523479777211	0 2 78 80 108 110 138 140 216 218	1112956053642