Prime p₀= 2574382310021664827 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: Penguin
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2574380975039744407	0 40 66 70 96 130 162 174 292 304 336 370 396 400 426 466	-1334981920420
STPT(10)	2574381069315865487	0 2 30 32 42 44 54 56 84 86	-1240705799340
SPT(16)	2574381318552404509	0 18 24 70 78 82 102 108 124 130 150 154 162 208 214 232	-991469260318
SPT(16)	2574381610771342621	0 6 12 72 78 118 120 162 166 208 210 250 256 316 322 328	-699250322206
SPT(16)	2574381731393702201	0 2 6 26 72 96 132 278 300 446 482 506 552 572 576 578	-578627962626
STPT(10)	2574382000881633977	0 2 60 62 72 74 84 86 144 146	-309140030850
SPT(16)	2574382355115963433	0 4 60 66 100 114 126 138 226 238 250 264 298 304 360 364	45094298606
STPT(10)	2574382596567047801	0 2 6 8 108 110 210 212 216 218	286545382974
STPT(10)	2574383422007728151	0 2 6 8 18 20 30 32 36 38	1111986063324
SPT(16)	2574383657049824909	0 14 24 32 50 60 78 90 92 104 122 132 150 158 168 182	1347028160082
TPT(14)	2574383679445790591	0 2 30 32 78 80 108 110 120 122 156 158 168 170	1369424125764