Prime p₀= 1235384668783619909 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: Laurent Cheylat
db: batch=77, k=10, 2 40 2 16 2

TPT(14)	1235382469287794417	0 2 30 32 72 74 144 146 174 176 204 206 210 212	-2199495825492
TPT(14)	1235382733961912747	0 2 12 14 30 32 54 56 72 74 120 122 222 224	-1934821707162
SPT(16)	1235382933577007807	0 50 114 182 210 224 246 252 254 260 282 296 324 392 456 506	-1735206612102
SPT(16)	1235383182661587437	0 24 62 102 114 126 140 156 200 216 230 242 254 294 332 356	-1486122032472
SPT(16)	1235383416384955559	0 8 30 38 72 78 122 192 218 288 332 338 372 380 402 410	-1252398664350
STPT(10)	1235383776884066387	0 2 30 32 42 44 54 56 84 86	-891899553522
SPT(16)	1235384807101151813	0 44 66 110 116 168 186 194 210 218 236 288 294 338 360 404	138317531904
SPT(16)	1235385287173167631	0 22 30 40 72 190 222 238 252 268 300 418 450 460 468 490	618389547722
SPT(16)	1235385589741169927	0 14 32 74 140 144 210 272 282 344 410 414 480 522 540 554	920957550018
SPT(16)	1235386140246114491	0 68 90 98 108 116 186 260 276 350 420 428 438 446 468 536	1471462494582
SPT(16)	1235386420251896597	0 54 66 102 104 116 132 146 270 284 300 312 314 350 362 416	1751468276688