Prime p₀= 3717733080890382857 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 88 2 88 2 28 2 (?)
a_n: 0 2 30 32 120 122 210 212 240 242
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: 242
Found by: Sphynx
db: batch=84, k=10, 2 28 2 88 2

SPT(16)	3717732307696910599	0 12 78 90 144 154 160 172 210 222 228 238 292 304 370 382	-773193472258
SPT(16)	3717732368051779967	0 14 32 36 54 96 102 110 126 134 140 182 200 204 222 236	-712838602890
STPT(10)	3717732687855751151	0 2 108 110 138 140 168 170 276 278	-393034631706
SPT(16)	3717732711996925429	0 34 70 78 114 118 150 162 190 202 234 238 274 282 318 352	-368893457428
STPT(10)	3717732775714440149	0 2 42 44 60 62 78 80 120 122	-305175942708
STPT(10)	3717733058865523667	0 2 30 32 72 74 114 116 144 146	-22024859190
STPT(10)	3717733392401626571	0 2 78 80 138 140 198 200 276 278	311511243714
STPT(12)	3717733429803004481	0 2 18 20 60 62 156 158 198 200 216 218	348912621624
SPT(13)	3717733628805077977	0 36 72 132 156 162 186 210 216 240 300 336 372	547914695120
STPT(10)	3717733927464249179	0 2 12 14 90 92 168 170 180 182	846573866322
SPT(16)	3717733997035578323	0 14 26 38 44 84 86 90 104 108 110 150 156 168 180 194	916145195466