Prime p₀= 1337188620795609269 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 40 2 40 2 76 2 (?)
a_n: 0 2 78 80 120 122 162 164 240 242
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: 242
Found by: Petrctale
db: batch=77, k=10, 2 76 2 40 2

SPT(16)	1337187783040036727	0 2 50 86 144 206 224 312 314 402 420 482 540 576 624 626	-837755572542
STPT(10)	1337187867962490359	0 2 12 14 30 32 48 50 60 62	-752833118910
STPT(10)	1337188033309419677	0 2 12 14 42 44 72 74 84 86	-587486189592
SPT(16)	1337188198088210053	0 4 10 18 36 40 70 78 136 144 174 178 196 204 210 214	-422707399216
SPT(16)	1337188284817424521	0 6 40 52 60 70 136 216 346 426 492 502 510 522 556 562	-335978184748
SPT(16)	1337188328465014537	0 4 24 64 66 94 96 106 144 154 156 184 186 226 246 250	-292330594732
STPT(10)	1337188803354447521	0 2 30 32 78 80 126 128 156 158	182558838252
TPT(14)	1337189299634222717	0 2 42 44 72 74 102 104 180 182 222 224 270 272	678838613448
SPT(16)	1337189463643638907	0 42 82 136 172 222 240 246 256 262 280 330 366 420 460 502	842848029638
SPT(16)	1337190104686282337	0 2 44 60 72 96 102 126 140 164 170 194 206 222 264 266	1483890673068
SPT(16)	1337190721604279419	0 12 30 42 72 174 220 238 264 282 328 430 460 472 490 502	2100808670150