Prime p₀= 2378216632956750791 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: [SG-2W]Kurzer
db: batch=81, k=10, 2 4 2 10 2

SPT(16)	2378214932603742107	0 2 44 54 74 80 110 116 150 156 186 192 212 222 264 266	-1700353008684
STPT(10)	2378215426176371987	0 2 30 32 102 104 174 176 204 206	-1206780378804
SPT(16)	2378215521121123081	0 10 16 72 100 178 222 228 250 256 300 378 406 462 468 478	-1111835627710
SPT(16)	2378215610209965503	0 14 26 60 90 116 174 180 224 230 288 314 344 378 390 404	-1022746785288
STPT(10)	2378215719717684389	0 2 12 14 90 92 168 170 180 182	-913239066402
STPT(10)	2378216428711796261	0 2 120 122 138 140 156 158 276 278	-204244954530
STPT(10)	2378216640722077157	0 2 30 32 60 62 90 92 120 122	7765326366
SPT(16)	2378216947288244707	0 12 100 112 120 126 154 186 190 222 250 256 264 276 364 376	314331493916
SPT(16)	2378217035841172577	0 24 36 50 56 102 132 176 240 284 314 360 366 380 392 416	402884421786
STPT(10)	2378217076173938999	0 2 18 20 30 32 42 44 60 62	443217188208
SPT(16)	2378217416241797719	0 30 78 88 112 120 172 184 198 210 262 270 294 304 352 382	783285046928