Prime p₀= 2857742008170895169 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: Roadranner
db: batch=82, k=10, 2 28 2 88 2

SPT(16)	2857740208380467989	0 10 18 34 78 88 138 144 154 160 210 220 264 280 288 298	-1799790427180
STPT(10)	2857740774867141827	0 2 42 44 72 74 102 104 144 146	-1233303753342
STPT(10)	2857741539167994959	0 2 18 20 30 32 42 44 60 62	-469002900210
SPT(16)	2857741562294346187	0 4 6 36 76 102 106 124 132 150 154 180 220 250 252 256	-445876548982
SPT(16)	2857741622195871881	0 42 68 110 116 138 152 162 176 186 200 222 228 270 296 338	-385975023288
SPT(16)	2857741640311404017	0 14 26 36 54 56 84 90 140 146 174 176 194 204 216 230	-367859491152
STPT(10)	2857742611485235841	0 2 6 8 48 50 90 92 96 98	603314340672
SPT(16)	2857742788283098913	0 8 96 116 126 158 168 186 218 236 246 278 288 308 396 404	780112203744
STPT(12)	2857742800690294589	0 2 18 20 72 74 198 200 252 254 270 272	792519399420
STPT(10)	2857743113767849127	0 2 60 62 72 74 84 86 144 146	1105596953958
STPT(10)	2857743548371176851	0 2 36 38 138 140 240 242 276 278	1540200281682