Prime p₀= 2750713660065766667 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: [SG-FC] hl
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2750711336991925589	0 2 32 90 98 104 140 164 168 192 228 234 242 300 330 332	-2323073841078
SPT(16)	2750711450752766881	0 42 48 90 106 108 118 132 136 150 160 162 178 220 226 268	-2209312999786
STPT(10)	2750711479391856389	0 2 12 14 90 92 168 170 180 182	-2180673910278
SPT(16)	2750712679836077783	0 24 26 38 110 134 156 198 206 248 270 294 366 378 380 404	-980229688884
SPT(16)	2750713000539879203	0 20 44 110 134 138 140 164 180 204 206 210 234 300 324 344	-659525887464
SPT(13)	2750713035212684221	0 30 60 72 78 102 120 138 162 168 180 210 240	-624853082446
SPT(16)	2750713835624163361	0 36 52 78 82 112 120 142 276 298 306 336 340 366 382 418	175558396694
SPT(16)	2750713849138792027	0 10 64 112 124 166 204 210 316 322 360 402 414 462 516 526	189073025360
SPT(13)	2750713930031413609	0 18 42 60 72 102 120 138 168 180 198 222 240	269965646942
SPT(16)	2750714059390949033	0 30 68 74 84 104 116 128 186 198 210 230 240 246 284 314	399325182366
SPT(16)	2750714085448943759	0 18 32 98 182 200 252 270 290 308 360 378 462 528 542 560	425383177092