Prime p₀= 2038977543961905257 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: Landjunge
db: batch=80, k=10, 2 10 2 28 2

STPT(10)	2038976208997760309	0 2 12 14 90 92 168 170 180 182	-1334964144948
SPT(16)	2038976612141232199	0 18 52 72 78 90 108 120 142 154 172 184 190 210 244 262	-931820673058
SPT(16)	2038977010111444069	0 28 30 42 72 90 102 108 154 160 172 190 220 232 234 262	-533850461188
SPT(16)	2038977212297038243	0 16 28 66 84 136 150 168 286 304 318 370 388 426 438 454	-331664867014
SPT(16)	2038977308469602953	0 34 64 78 106 118 124 168 286 330 336 348 376 390 420 454	-235492302304
SPT(16)	2038977523513769381	0 92 152 180 252 272 330 362 366 398 456 476 548 576 636 728	-20448135876
STPT(10)	2038977745279383911	0 2 36 38 78 80 120 122 156 158	201317478654
SPT(16)	2038977938815417321	0 52 82 88 120 138 196 208 210 222 280 298 330 336 366 418	394853512064
STPT(10)	2038978391530206317	0 2 42 44 72 74 102 104 144 146	847568301060
STPT(10)	2038978687161384107	0 2 12 14 42 44 72 74 84 86	1143199478850
STPT(10)	2038978887725407679	0 2 18 20 30 32 42 44 60 62	1343763502422