Prime p₀= 817125464156227349 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]FX
db: batch=73, k=10, 2 10 2 16 2

STPT(10)	817124742076812887	0 2 84 86 132 134 180 182 264 266	-722079414462
TPT(14)	817124870950949399	0 2 60 62 102 104 168 170 252 254 312 314 390 392	-593205277950
TPT(14)	817124893993450961	0 2 18 20 78 80 90 92 198 200 216 218 228 230	-570162776388
SPT(16)	817124971508643599	0 8 18 42 92 110 140 168 272 300 330 348 398 422 432 440	-492647583750
SPT(16)	817125060227891083	0 100 126 166 214 240 250 286 294 330 340 366 414 454 480 580	-403928336266
STPT(10)	817125345099379397	0 2 42 44 72 74 102 104 144 146	-119056847952
SPT(16)	817125557293892059	0 28 48 70 72 100 108 114 118 124 132 160 162 184 204 232	93137664710
STPT(10)	817126226118082511	0 2 36 38 78 80 120 122 156 158	761961855162
SPT(16)	817126294998981559	0 12 28 34 54 60 72 82 120 130 142 148 168 174 190 202	830842754210
SPT(16)	817126341781586831	0 2 8 26 66 126 156 212 246 302 332 392 432 450 456 458	877625359482
STPT(10)	817126369783327361	0 2 6 8 18 20 30 32 36 38	905627100012