Prime p₀= 2167599608048606489 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Landjunge
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2167598453091676421	0 60 68 90 92 122 150 152 216 218 246 276 278 300 308 368	-1154956930068
STPT(10)	2167598550544777247	0 2 42 44 72 74 102 104 144 146	-1057503829242
SPT(16)	2167598721841131853	0 28 84 126 156 196 208 214 360 366 378 418 448 490 546 574	-886207474636
SPT(16)	2167599274446951211	0 18 28 60 96 118 138 150 196 208 228 250 286 318 328 346	-333601655278
SPT(16)	2167599361983675827	0 20 32 50 54 116 146 176 180 210 240 302 306 324 336 356	-246064930662
SPT(16)	2167599440957103163	0 6 58 106 118 124 138 238 336 436 450 456 468 516 568 574	-167091503326
STPT(10)	2167599786928794677	0 2 30 32 42 44 54 56 84 86	178880188188
SPT(16)	2167599932619405671	0 18 56 90 140 192 210 248 270 308 326 378 428 462 500 518	324570799182
SPT(18)	2167599941883107041	0 46 90 112 118 126 192 228 238 300 310 346 412 420 426 448 492 538	333834500552
SPT(16)	2167600478683575779	0 18 50 62 138 162 210 218 312 320 368 392 468 480 512 530	870634969290
SPT(16)	2167600735510791857	0 6 42 50 72 92 110 182 204 276 294 314 336 344 380 386	1127462185368