Prime p₀= 2623708282841800127 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2623707306128463403	0 10 24 30 34 58 76 94 150 168 186 210 214 220 234 244	-976713336724
SPT(16)	2623707485512426787	0 24 36 56 62 80 116 134 192 210 246 264 270 290 302 326	-797329373340
SPT(16)	2623707514901355427	0 30 52 72 112 136 172 186 220 234 270 294 334 354 376 406	-767940444700
SPT(16)	2623707634034533957	0 4 22 42 54 82 130 144 190 204 252 280 292 312 330 334	-648807266170
STPT(12)	2623707718236801107	0 2 30 32 42 44 72 74 84 86 114 116	-564604999020
STPT(10)	2623708270577867021	0 2 6 8 48 50 90 92 96 98	-12263933106
SPT(16)	2623708455552073933	0 16 30 60 96 138 148 198 406 456 466 508 544 574 588 604	172710273806
SPT(16)	2623708469532677101	0 12 40 46 78 108 136 178 240 282 310 340 372 378 406 418	186690876974
STPT(10)	2623708838542508081	0 2 30 32 78 80 126 128 156 158	555700707954
STPT(10)	2623708863540749987	0 2 30 32 60 62 90 92 120 122	580698949860
STPT(10)	2623709055097124261	0 2 36 38 78 80 120 122 156 158	772255324134