Prime p₀= 777636774249209447 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: [AF>Libristes]Maeda
db: batch=73, k=10, 2 22 2 16 2

SPT(16)	777635190692026879	0 10 24 70 90 112 114 120 142 148 150 172 192 238 252 262	-1583557182568
SPT(16)	777635859896323903	0 4 126 138 144 160 198 208 216 226 264 280 286 298 420 424	-914352885544
SPT(16)	777636269621363903	0 6 60 66 80 84 104 240 260 396 416 420 434 440 494 500	-504627845544
SPT(16)	777636271782264589	0 4 10 34 52 144 154 192 220 258 268 360 378 402 408 412	-502466944858
SPT(16)	777636342530090353	0 4 16 58 160 198 204 256 258 310 316 354 456 498 510 514	-431719119094
STPT(10)	777636757712538077	0 2 12 14 72 74 132 134 144 146	-16536671370
SPT(16)	777637054514125079	0 68 180 192 260 288 308 374 378 444 464 492 560 572 684 752	280264915632
SPT(16)	777637355227068367	0 12 30 40 70 94 100 150 154 204 210 234 264 274 292 304	580977858920
SPT(16)	777637380561641387	0 50 62 72 86 116 144 170 216 242 270 300 314 324 336 386	606312431940
STPT(10)	777638015710708949	0 2 18 20 30 32 42 44 60 62	1241461499502
STPT(10)	777638144552609411	0 2 36 38 78 80 120 122 156 158	1370303399964