Prime p₀= 1635274037737033787 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: rlacr
db: batch=78, k=10, 2 28 2 28 2

SPT(16)	1635272958802953439	0 30 40 90 102 118 132 168 172 208 222 238 250 300 310 340	-1078934080348
SPT(20)	1635273148960904251	0 28 82 108 142 156 162 178 192 208 210 226 240 256 262 276 310 336 390 418	-888776129536
STPT(10)	1635273432291775481	0 2 6 8 18 20 30 32 36 38	-605445258306
SPT(16)	1635273832742165267	0 12 14 32 42 44 54 86 150 182 192 194 204 222 224 236	-204994868520
SPT(16)	1635273842643097409	0 42 90 104 114 158 180 224 228 272 294 338 348 362 410 452	-195093936378
SPT(16)	1635273918780609979	0 34 114 124 138 202 204 310 312 418 420 484 498 508 588 622	-118956423808
STPT(10)	1635274202245866407	0 2 30 32 42 44 54 56 84 86	164508832620
SPT(16)	1635274203902060999	0 44 72 84 104 134 180 260 264 344 390 420 440 452 480 524	166165027212
SPT(16)	1635274808314666763	0 24 48 74 84 90 96 114 140 158 164 170 180 206 230 254	770577632976
SPT(16)	1635274917445528753	0 16 30 34 76 106 144 210 274 340 378 408 450 454 468 484	879708494966
STPT(10)	1635274996665265799	0 2 18 20 30 32 42 44 60 62	958928232012