Prime p₀= 2071140611812165139 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: Cruncher Pete
db: batch=80, k=10, 2 28 2 88 2

SPT(16)	2071139068483153579	0 10 30 54 58 100 114 124 138 148 162 204 208 232 252 262	-1543329011560
STPT(10)	2071139496253372841	0 2 6 8 18 20 30 32 36 38	-1115558792298
TPT(14)	2071139518016197661	0 2 6 8 60 62 90 92 156 158 198 200 216 218	-1093795967478
SPT(16)	2071139911845617813	0 18 90 98 116 156 176 260 336 420 440 480 498 506 578 596	-699966547326
SPT(16)	2071140017066849231	0 2 68 116 138 140 150 156 182 188 198 200 222 270 336 338	-594745315908
TPT(14)	2071140501082961489	0 2 30 32 150 152 198 200 210 212 318 320 432 434	-110729203650
SPT(16)	2071140698203023791	0 26 32 56 68 78 110 122 156 168 200 210 222 246 252 278	86390858652
STPT(10)	2071140723570337589	0 2 18 20 30 32 42 44 60 62	111758172450
SPT(16)	2071140817004751629	0 20 42 60 62 78 128 132 140 144 194 210 212 230 252 272	205192586490
SPT(16)	2071141008828816599	0 2 38 72 104 152 164 174 188 198 210 258 290 324 360 362	397016651460
SPT(16)	2071141078749003353	0 56 60 78 86 98 170 198 266 294 366 378 386 404 408 464	466936838214