Prime p₀= 1273865867992295717 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: HenkM
db: batch=77, k=10, 2 10 2 28 2

SPT(16)	1273864690364625127	0 30 52 112 132 156 172 186 226 240 256 280 300 360 382 412	-1177627670590
SPT(18)	1273865215331824361	0 50 72 86 120 138 158 186 200 288 302 330 350 368 402 416 438 488	-652660471356
TPT(14)	1273865233186753187	0 2 30 32 120 122 162 164 210 212 360 362 420 422	-634805542530
SPT(16)	1273865295475064207	0 12 44 80 84 102 116 144 152 180 194 212 216 252 284 296	-572517231510
SPT(16)	1273865685383782949	0 24 50 54 80 120 128 138 164 174 182 222 248 252 278 302	-182608512768
SPT(16)	1273865704393635407	0 14 20 60 90 116 164 194 222 252 300 326 356 396 402 416	-163598660310
STPT(10)	1273865998267021301	0 2 6 8 18 20 30 32 36 38	130274725584
STPT(10)	1273866000682371779	0 2 12 14 90 92 168 170 180 182	132690076062
TPT(14)	1273866170243340647	0 2 24 26 72 74 114 116 204 206 240 242 264 266	302251044930
SPT(16)	1273866434529769177	0 6 16 34 42 54 84 94 132 142 172 184 192 210 220 226	566537473460
STPT(10)	1273866593936302307	0 2 30 32 42 44 54 56 84 86	725944006590