Prime p₀= 2999742542112187787 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: Chaunton
db: batch=82, k=10, 2 22 2 16 2

TPT(14)	2999741209427888489	0 2 18 20 42 44 90 92 222 224 252 254 312 314	-1332684299298
SPT(16)	2999741382447423307	0 70 72 114 130 184 196 232 234 270 282 336 352 394 396 466	-1159664764480
TPT(14)	2999741975341338527	0 2 42 44 144 146 210 212 234 236 240 242 312 314	-566770849260
SPT(16)	2999742027885622139	0 8 24 54 80 120 128 150 182 204 212 252 278 308 324 332	-514226565648
SPT(16)	2999742151318666541	0 2 42 60 68 98 102 152 216 266 270 300 308 326 366 368	-390793521246
SPT(16)	2999742359469011491	0 48 100 118 126 156 166 238 240 312 322 352 360 378 430 478	-182643176296
TPT(14)	2999742550314139697	0 2 90 92 240 242 270 272 432 434 504 506 534 536	8201951910
STPT(12)	2999742663582859037	0 2 42 44 54 56 60 62 72 74 114 116	121470671250
STPT(10)	2999743619198241731	0 2 6 8 48 50 90 92 96 98	1077086053944
TPT(16)	2999744040277985111	0 2 138 140 150 152 198 200 270 272 348 350 378 380 408 410	1498165797324
SPT(16)	2999744073843616049	0 14 48 60 104 110 200 224 318 342 432 438 482 494 528 542	1531731428262