Prime p₀= 1289045961258996761 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Cruncher Pete
db: batch=77, k=10, 2 4 2 10 2

STPT(10)	1289044790134999991	0 2 30 32 60 62 90 92 120 122	-1171123996770
SPT(13)	1289044809434094107	0 6 36 84 90 114 120 126 150 156 204 234 240	-1151824902654
STPT(10)	1289044837134003149	0 2 12 14 90 92 168 170 180 182	-1124124993612
SPT(16)	1289044999794129559	0 4 22 64 112 120 148 168 364 384 412 420 468 510 528 532	-961464867202
STPT(10)	1289045346205049297	0 2 42 44 72 74 102 104 144 146	-615053947464
STPT(10)	1289045357494854101	0 2 6 8 18 20 30 32 36 38	-603764142660
STPT(10)	1289046203087616971	0 2 6 8 48 50 90 92 96 98	241828620210
SPT(16)	1289046212339834191	0 6 28 48 66 96 132 150 178 196 232 262 280 300 322 328	251080837430
TPT(14)	1289046474079830881	0 2 30 32 156 158 216 218 228 230 240 242 258 260	512820834120
STPT(10)	1289046933591717281	0 2 36 38 78 80 120 122 156 158	972332720520
SPT(16)	1289047683667757459	0 68 80 90 98 138 140 200 252 312 314 354 362 372 384 452	1722408760698