Prime p₀= 1257879398591313539 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 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: Theadalus
db: batch=77, k=10, 2 16 2 10 2

SPT(16)	1257877856075383447	0 10 22 34 106 154 192 256 300 364 402 450 522 534 546 556	-1542515930092
STPT(10)	1257878776922071319	0 2 78 80 120 122 162 164 240 242	-621669242220
STPT(10)	1257878806339950797	0 2 30 32 60 62 90 92 120 122	-592251362742
SPT(16)	1257878809053709841	0 18 50 56 60 62 102 140 168 206 246 248 252 258 290 308	-589537603698
SPT(16)	1257878921416958359	0 54 60 78 88 114 120 154 264 298 304 330 340 358 364 418	-477174355180
SPT(16)	1257878980243054889	0 14 18 44 80 114 128 132 140 144 158 192 228 254 258 272	-418348258650
SPT(18)	1257879815284451633	0 54 60 66 96 110 126 138 164 180 206 218 234 248 278 284 290 344	416693138094
STPT(10)	1257879919792102589	0 2 12 14 90 92 168 170 180 182	521200789050
SPT(16)	1257880200813190169	0 8 48 92 102 132 140 158 204 222 230 260 270 314 354 362	802221876630
SPT(18)	1257880241012416121	0 6 62 86 128 182 188 192 198 260 266 270 276 330 372 396 452 458	842421102582
TPT(14)	1257880466956914131	0 2 60 62 78 80 216 218 240 242 246 248 300 302	1068365600592