Prime p₀= 2327371015252408511 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 124 2 10 2 10 2 124 2 (?)
a_n: 0 2 126 128 138 140 150 152 276 278
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: 278
Found by: Orange Kid
db: batch=81, k=10, 2 124 2 10 2

SPT(16)	2327369756829113839	0 40 42 64 72 84 100 162 352 414 430 442 450 472 474 514	-1258423294672
STPT(10)	2327369889204011537	0 2 30 32 42 44 54 56 84 86	-1126048396974
SPT(16)	2327370287074516969	0 70 90 112 132 160 162 168 172 178 180 208 228 250 270 340	-728177891542
SPT(16)	2327370412450956667	0 4 16 46 64 84 130 156 454 480 526 546 564 594 606 610	-602801451844
SPT(16)	2327370623652568181	0 2 8 30 50 62 140 156 182 198 276 288 308 330 336 338	-391599840330
SPT(16)	2327370983160109219	0 22 28 60 78 114 138 204 208 274 298 334 352 384 390 412	-32092299292
STPT(10)	2327371133048770979	0 2 42 44 60 62 78 80 120 122	117796362468
STPT(10)	2327371947600435059	0 2 78 80 120 122 162 164 240 242	932348026548
STPT(10)	2327372212244373137	0 2 30 32 42 44 54 56 84 86	1196991964626
TPT(14)	2327373007094924219	0 2 30 32 72 74 132 134 138 140 168 170 252 254	1991842515708
SPT(16)	2327373071223540491	0 2 6 20 50 62 120 128 180 188 246 258 288 302 306 308	2055971131980