Prime p₀= 877596434049286337 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Frank [NT]
db: batch=73, k=10, 2 10 2 28 2

SPT(18)	877594818699275717	0 42 60 84 110 192 222 230 266 270 306 314 344 426 452 476 494 536	-1615350010620
STPT(10)	877595108868121289	0 2 48 50 60 62 72 74 120 122	-1325181165048
SPT(16)	877595423312633411	0 18 26 66 78 80 86 96 140 150 156 158 170 210 218 236	-1010736652926
SPT(16)	877595504189898701	0 32 62 128 168 198 210 218 252 260 272 302 342 408 438 470	-929859387636
STPT(10)	877596243286621091	0 2 36 38 78 80 120 122 156 158	-190762665246
SPT(16)	877596423583404611	0 20 32 48 50 72 92 98 120 126 146 168 170 186 198 218	-10465881726
SPT(16)	877596520984330583	0 44 74 116 140 144 146 156 218 228 230 234 258 300 330 374	86935044246
STPT(10)	877596806376760439	0 2 12 14 90 92 168 170 180 182	372327474102
STPT(10)	877597155811413857	0 2 30 32 42 44 54 56 84 86	721762127520
SPT(16)	877597648635779767	0 42 82 142 222 246 276 300 352 376 406 430 510 570 610 652	1214586493430
TPT(14)	877597683929874371	0 2 48 50 60 62 78 80 126 128 156 158 168 170	1249880588034