Prime p₀= 3105496488754315127 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 88 2 88 2 40 2 (?)
a_n: 0 2 42 44 132 134 222 224 264 266
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: 266
Found by: Conan
db: batch=83, k=10, 2 40 2 88 2

SPT(16)	3105494824450670573	0 6 36 48 50 78 140 146 210 216 278 306 308 320 350 356	-1664303644554
TPT(14)	3105494908902701969	0 2 42 44 78 80 120 122 168 170 252 254 258 260	-1579851613158
STPT(10)	3105495140050169297	0 2 54 56 72 74 90 92 144 146	-1348704145830
STPT(10)	3105495339795106757	0 2 30 32 72 74 114 116 144 146	-1148959208370
SPT(16)	3105495575917353679	0 22 88 112 118 162 168 202 210 244 250 294 300 324 390 412	-912836961448
STPT(10)	3105495859610970731	0 2 6 8 48 50 90 92 96 98	-629143344396
SPT(16)	3105496497656185751	0 26 30 48 62 96 122 138 200 216 242 276 290 308 312 338	8901870624
SPT(16)	3105497102171469689	0 38 48 74 92 144 162 192 260 290 308 360 378 404 414 452	613417154562
SPT(16)	3105497159887025611	0 22 28 36 42 58 60 102 166 208 210 226 232 240 246 268	671132710484
SPT(16)	3105497209803415241	0 2 20 26 38 66 80 96 122 138 152 180 192 198 216 218	721049100114
STPT(10)	3105497652180400859	0 2 48 50 90 92 132 134 180 182	1163426085732