Prime p₀= 1025562919955812787 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 88 2 40 2 40 2 88 2 (?)
a_n: 0 2 90 92 132 134 174 176 264 266
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: HenkM
db: batch=76, k=10, 2 88 2 40 2

SPT(16)	1025561931794652097	0 30 40 42 72 76 96 102 124 130 150 154 184 186 196 226	-988161160690
SPT(16)	1025562010860872777	0 32 50 56 62 74 116 162 164 210 252 264 270 276 294 326	-909094940010
SPT(16)	1025562031624767943	0 34 36 120 150 154 250 264 316 330 426 430 460 544 546 580	-888331044844
STPT(10)	1025562066662572331	0 2 6 8 48 50 90 92 96 98	-853293240456
SPT(16)	1025562109347840223	0 34 48 78 126 136 148 178 186 216 228 238 286 316 330 364	-810607972564
TPT(14)	1025562172717005899	0 2 42 44 48 50 120 122 150 152 222 224 288 290	-747238806888
STPT(10)	1025563259158326737	0 2 30 32 60 62 90 92 120 122	339202513950
STPT(10)	1025563447063939829	0 2 48 50 90 92 132 134 180 182	527108127042
STPT(10)	1025563518199587467	0 2 42 44 72 74 102 104 144 146	598243774680
SPT(16)	1025563621325757671	0 48 72 110 120 188 212 240 320 348 372 440 450 488 512 560	701369944884
SPT(16)	1025563744276464353	0 6 36 56 80 108 158 186 230 258 308 336 360 380 410 416	824320651566