Prime p₀= 747409701303826679 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: Theadalus
db: batch=73, k=10, 2 16 2 10 2

SPT(16)	747408461766849781	0 16 28 40 78 82 90 96 142 148 156 160 198 210 222 238	-1239536976898
SPT(16)	747408524000383897	0 22 36 40 42 136 150 220 222 292 306 400 402 406 420 442	-1177303442782
SPT(16)	747409040530499231	0 26 30 68 78 96 212 218 300 306 422 440 450 488 492 518	-660773327448
STPT(10)	747409079940026969	0 2 48 50 90 92 132 134 180 182	-621363799710
STPT(10)	747409198116347861	0 2 6 8 48 50 90 92 96 98	-503187478818
STPT(10)	747409313233328531	0 2 30 32 78 80 126 128 156 158	-388070498148
TPT(14)	747409889154899207	0 2 72 74 84 86 264 266 402 404 444 446 474 476	187851072528
STPT(10)	747410065338854381	0 2 36 38 78 80 120 122 156 158	364035027702
SPT(16)	747410294434099003	0 10 24 70 88 108 120 136 138 154 166 186 204 250 264 274	593130272324
STPT(10)	747410317980203357	0 2 30 32 42 44 54 56 84 86	616676376678
STPT(10)	747410397689571797	0 2 24 26 42 44 60 62 84 86	696385745118