Prime p₀= 1245740156809392017 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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: 146
Found by: HenkM
db: batch=77, k=10, 2 52 2 16 2

SPT(16)	1245739289301680021	0 6 50 66 102 206 210 216 242 248 252 356 392 408 452 458	-867507711996
SPT(18)	1245739672028362327	0 10 12 34 42 46 136 202 220 246 264 330 420 424 432 454 456 466	-484781029690
SPT(16)	1245739755162773791	0 46 60 72 82 96 120 130 138 148 172 186 196 208 222 268	-401646618226
STPT(10)	1245739811437541471	0 2 6 8 18 20 30 32 36 38	-345371850546
SPT(16)	1245740006463131213	0 24 60 144 150 210 258 264 284 290 338 398 404 488 524 548	-150346260804
SPT(16)	1245740055094901843	0 38 54 60 74 86 168 200 204 236 318 330 344 350 366 404	-101714490174
SPT(16)	1245740352743773303	0 4 18 36 54 58 88 96 148 156 186 190 208 226 240 244	195934381286
SPT(16)	1245740869675821251	0 6 20 36 56 78 80 126 182 228 230 252 272 288 302 308	712866429234
SPT(16)	1245740917775078663	0 14 38 50 98 116 138 158 186 206 228 246 294 306 330 344	760965686646
STPT(10)	1245741095546307221	0 2 36 38 78 80 120 122 156 158	938736915204
SPT(16)	1245741116784250939	0 28 34 52 88 124 138 228 334 424 438 474 510 528 534 562	959974858922