Prime p₀= 261352676900735657 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: marsinph
db: batch=69, k=10, 2 28 2 10 2

SPT(14)	261352598773147711	0 12 22 30 42 46 60 82 96 100 112 120 130 142	-78127587946
SPT(14)	261352614323853571	0 36 70 82 102 112 126 142 156 166 186 198 232 268	-62576882086
SPT(14)	261352631701732213	0 4 16 18 48 54 88 96 130 136 166 168 180 184	-45199003444
TPT(12)	261352646646742919	0 2 48 50 90 92 102 104 162 164 372 374	-30253992738
SPT(14)	261352655355552367	0 6 10 66 76 106 120 136 150 180 190 246 250 256	-21545183290
SPT(16)	261352676196913919	0 90 98 120 134 158 164 210 248 294 300 324 338 360 368 458	-703821738
TPT(12)	261352698996071399	0 2 78 80 90 92 162 164 318 320 402 404	22095335742
TPT(12)	261352703118988421	0 2 48 50 66 68 108 110 120 122 150 152	26218252764
SPT(14)	261352704670471277	0 66 84 132 134 140 152 204 216 222 224 272 290 356	27769735620
SPT(14)	261352732070619451	0 30 42 72 78 108 132 136 160 190 196 226 238 268	55169883794
STPT(10)	261352776484454531	0 2 30 32 60 62 90 92 120 122	99583718874