Prime p₀= 1246943199213601889 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 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: emoga
db: batch=77, k=10, 2 16 2 10 2

STPT(10)	1246942640521997561	0 2 6 8 18 20 30 32 36 38	-558691604328
STPT(10)	1246942681803488321	0 2 36 38 78 80 120 122 156 158	-517410113568
STPT(10)	1246942899484806059	0 2 48 50 90 92 132 134 180 182	-299728795830
SPT(16)	1246943046101312281	0 16 28 36 66 78 112 130 168 186 220 232 262 270 282 298	-153112289608
STPT(10)	1246943081085828821	0 2 36 38 78 80 120 122 156 158	-118127773068
STPT(10)	1246943102802160199	0 2 42 44 60 62 78 80 120 122	-96411441690
SPT(16)	1246943614240332377	0 6 14 26 74 120 150 176 234 260 290 336 384 396 404 410	415026730488
SPT(16)	1246943657531608037	0 36 74 134 144 156 180 222 224 266 290 302 312 372 410 446	458318006148
STPT(10)	1246943713228297751	0 2 6 8 18 20 30 32 36 38	514014695862
TPT(14)	1246943923533681419	0 2 12 14 90 92 180 182 210 212 252 254 270 272	724320079530
SPT(16)	1246943963380326271	0 58 60 76 82 88 100 130 168 198 210 216 222 238 240 298	764166724382