Prime p₀= 2689441838689689989 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: suriv
db: batch=82, k=10, 2 10 2 76 2

SPT(16)	2689440596521700299	0 10 24 28 48 54 90 244 264 418 454 460 480 484 498 508	-1242167989690
SPT(16)	2689440672596190719	0 12 38 42 50 78 104 120 182 198 224 252 260 264 290 302	-1166093499270
SPT(16)	2689440719826562607	0 6 14 44 54 86 104 176 300 372 390 422 432 462 470 476	-1118863127382
STPT(10)	2689441028317335491	0 2 6 8 108 110 210 212 216 218	-810372354498
SPT(16)	2689441530313235759	0 14 20 32 84 90 110 120 122 132 152 158 210 222 228 242	-308376454230
STPT(10)	2689441725541073051	0 2 6 8 48 50 90 92 96 98	-113148616938
SPT(16)	2689441908219738149	0 30 32 38 44 84 104 122 150 168 188 228 234 240 242 272	69530048160
STPT(10)	2689442382066359597	0 2 12 14 42 44 72 74 84 86	543376669608
STPT(12)	2689442664470000597	0 2 30 32 54 56 90 92 114 116 144 146	825780310608
SPT(16)	2689442757426422303	0 14 36 38 48 50 116 140 144 168 234 236 246 248 270 284	918736732314
SPT(16)	2689442827440001669	0 28 70 102 130 142 234 274 318 358 450 462 490 522 564 592	988750311680