Prime p₀= 2623719851663771459 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: [SG-FC] hl
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2623717807336983803	0 36 90 188 264 266 288 294 320 326 348 350 426 524 578 614	-2044326787656
SPT(16)	2623718278581486917	0 26 42 152 180 186 260 266 270 276 350 356 384 494 510 536	-1573082284542
SPT(16)	2623718517556810559	0 42 48 62 68 74 90 134 138 182 198 204 210 224 230 272	-1334106960900
STPT(10)	2623718536655187077	0 2 30 32 42 44 54 56 84 86	-1315008584382
STPT(10)	2623718667088512767	0 2 12 14 72 74 132 134 144 146	-1184575258692
SPT(16)	2623719109005875371	0 22 36 78 88 96 130 166 192 228 262 270 280 322 336 358	-742657896088
STPT(10)	2623719861270440741	0 2 6 8 48 50 90 92 96 98	9606669282
SPT(16)	2623719876591252707	0 30 32 42 60 104 134 162 182 210 240 284 302 312 314 344	24927481248
STPT(10)	2623719966132172799	0 2 78 80 150 152 222 224 300 302	114468401340
SPT(16)	2623720069458085469	0 2 18 20 138 152 200 210 230 240 288 302 420 422 438 440	217794314010
TPT(14)	2623720248245799011	0 2 78 80 108 110 138 140 150 152 210 212 246 248	396582027552