Prime p₀= 1068556273574523737 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 76 2 76 2 52 2 (?)
a_n: 0 2 54 56 132 134 210 212 264 266
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: 266
Found by: Theadalus
db: batch=76, k=10, 2 52 2 76 2

TPT(14)	1068555520200137609	0 2 78 80 180 182 210 212 300 302 342 344 360 362	-753374386128
STPT(10)	1068555524169424271	0 2 36 38 78 80 120 122 156 158	-749405099466
STPT(10)	1068555772618409399	0 2 18 20 30 32 42 44 60 62	-500956114338
STPT(10)	1068555969775519331	0 2 30 32 120 122 210 212 240 242	-303799004406
STPT(10)	1068556116845838389	0 2 18 20 30 32 42 44 60 62	-156728685348
SPT(16)	1068556249613351791	0 12 70 106 168 238 316 426 502 612 690 760 822 858 916 928	-23961171946
SPT(16)	1068556431288995657	0 2 30 32 54 86 156 170 276 290 360 392 414 416 444 446	157714471920
SPT(18)	1068556619389662553	0 16 76 78 90 100 106 108 124 150 166 168 174 184 196 198 258 274	345815138816
STPT(10)	1068557370641905559	0 2 48 50 60 62 72 74 120 122	1097067381822
STPT(10)	1068557688628662887	0 2 30 32 72 74 114 116 144 146	1415054139150
SPT(16)	1068557749900097917	0 6 10 40 96 192 196 210 256 270 274 370 426 456 460 466	1476325574180