Prime p₀= 2551031768950223807 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 88 2 88 2 40 2 (?)
a_n: 0 2 42 44 132 134 222 224 264 266
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: RFGuy_KCCO
db: batch=82, k=10, 2 40 2 88 2

SPT(16)	2551030122186200087	0 60 66 72 114 170 210 212 264 266 306 362 404 410 416 476	-1646764023720
STPT(10)	2551030463416934027	0 2 42 44 72 74 102 104 144 146	-1305533289780
SPT(16)	2551030801347555101	0 38 86 102 180 182 210 222 266 278 306 308 386 402 450 488	-967602668706
STPT(10)	2551030967650157747	0 2 42 44 72 74 102 104 144 146	-801300066060
SPT(16)	2551031701262269427	0 12 20 42 74 90 104 132 164 192 206 222 254 276 284 296	-67687954380
SPT(16)	2551031755298506901	0 110 182 186 198 266 296 348 380 432 462 530 542 546 618 728	-13651716906
STPT(10)	2551032092233857611	0 2 36 38 78 80 120 122 156 158	323283633804
SPT(16)	2551032567398331151	0 18 28 42 70 78 90 100 120 130 142 150 178 192 202 220	798448107344
TPT(14)	2551032609084812549	0 2 12 14 30 32 90 92 102 104 132 134 138 140	840134588742
STPT(12)	2551033118927570699	0 2 42 44 78 80 162 164 198 200 240 242	1349977346892
STPT(10)	2551033258895479901	0 2 6 8 48 50 90 92 96 98	1489945256094