Prime p₀= 747409313233328531 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: Theadalus
db: batch=73, k=10, 2 28 2 46 2

SPT(16)	747408295538023937	0 24 60 72 90 114 116 174 182 240 242 266 284 296 332 356	-1017695304594
SPT(16)	747408461766849781	0 16 28 40 78 82 90 96 142 148 156 160 198 210 222 238	-851466478750
SPT(16)	747408524000383897	0 22 36 40 42 136 150 220 222 292 306 400 402 406 420 442	-789232944634
SPT(16)	747409040530499231	0 26 30 68 78 96 212 218 300 306 422 440 450 488 492 518	-272702829300
STPT(10)	747409079940026969	0 2 48 50 90 92 132 134 180 182	-233293301562
STPT(10)	747409198116347861	0 2 6 8 48 50 90 92 96 98	-115116980670
STPT(10)	747409701303826679	0 2 18 20 30 32 42 44 60 62	388070498148
TPT(14)	747409889154899207	0 2 72 74 84 86 264 266 402 404 444 446 474 476	575921570676
STPT(10)	747410065338854381	0 2 36 38 78 80 120 122 156 158	752105525850
SPT(16)	747410294434099003	0 10 24 70 88 108 120 136 138 154 166 186 204 250 264 274	981200770472
STPT(10)	747410317980203357	0 2 30 32 42 44 54 56 84 86	1004746874826