Prime p₀= 2562673978196325809 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
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: 62
Found by: [SG-FC] hl
db: batch=82, k=10, 2 10 2 16 2

SPT(16)	2562673266192739039	0 28 30 40 54 84 162 174 238 250 328 358 372 382 384 412	-712003586770
STPT(10)	2562673435099123469	0 2 12 14 90 92 168 170 180 182	-543097202340
SPT(16)	2562673633719117943	0 78 84 120 136 138 150 160 324 334 346 348 364 400 406 484	-344477207866
STPT(10)	2562673742358877307	0 2 30 32 42 44 54 56 84 86	-235837448502
SPT(16)	2562673766541259061	0 32 48 60 78 98 146 150 158 162 210 230 248 260 276 308	-211655066748
STPT(10)	2562673865100368177	0 2 12 14 72 74 132 134 144 146	-113095957632
STPT(10)	2562673994145435347	0 2 72 74 102 104 132 134 204 206	15949109538
TPT(14)	2562674019531621221	0 2 78 80 90 92 156 158 210 212 228 230 270 272	41335295412
SPT(16)	2562674069388719059	0 22 64 78 100 120 124 132 190 198 202 222 244 258 300 322	91192393250
STPT(10)	2562674100316395347	0 2 42 44 72 74 102 104 144 146	122120069538
SPT(16)	2562674231573830159	0 22 42 48 70 78 90 102 130 142 154 162 184 190 210 232	253377504350