Prime p₀= 1246942640521997561 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: emoga
db: batch=77, k=10, 2 4 2 10 2

STPT(10)	1246941055810924391	0 2 30 32 78 80 126 128 156 158	-1584711073170
SPT(20)	1246941714415925159	0 38 60 90 98 140 158 218 224 234 284 294 300 360 378 420 428 458 480 518	-926106072402
STPT(10)	1246941816597586799	0 2 18 20 30 32 42 44 60 62	-823924410762
STPT(10)	1246941816655202579	0 2 18 20 30 32 42 44 60 62	-823866794982
TPT(14)	1246941861933279821	0 2 78 80 138 140 156 158 168 170 180 182 240 242	-778588717740
SPT(16)	1246942558614265589	0 30 32 42 48 72 74 102 110 138 140 164 170 180 182 212	-81907731972
STPT(10)	1246942681803488321	0 2 36 38 78 80 120 122 156 158	41281490760
STPT(10)	1246942899484806059	0 2 48 50 90 92 132 134 180 182	258962808498
SPT(16)	1246943046101312281	0 16 28 36 66 78 112 130 168 186 220 232 262 270 282 298	405579314720
STPT(10)	1246943081085828821	0 2 36 38 78 80 120 122 156 158	440563831260
STPT(10)	1246943102802160199	0 2 42 44 60 62 78 80 120 122	462280162638