Prime p₀= 1577574117251398727 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: xii5ku
db: batch=78, k=10, 2 22 2 16 2

SPT(16)	1577571942894984493	0 10 36 48 66 84 88 100 204 216 220 238 256 268 294 304	-2174356414234
STPT(10)	1577572172773765757	0 2 30 32 42 44 54 56 84 86	-1944477632970
SPT(16)	1577572196591374831	0 18 30 60 78 82 100 112 198 210 228 232 250 280 292 310	-1920660023896
SPT(16)	1577572942185395641	0 22 40 90 120 132 210 232 300 322 400 412 442 492 510 532	-1175066003086
SPT(16)	1577573379225927709	0 52 90 118 138 160 174 192 220 238 252 274 294 322 360 412	-738025471018
SPT(16)	1577573436319908169	0 28 42 102 112 114 130 168 214 252 268 270 280 340 354 382	-680931490558
STPT(10)	1577574441989457017	0 2 30 32 42 44 54 56 84 86	324738058290
SPT(16)	1577574469206238579	0 10 24 48 124 150 178 208 264 294 322 348 424 448 462 472	351954839852
STPT(10)	1577574496931379017	0 2 30 32 42 44 54 56 84 86	379679980290
SPT(16)	1577574566745022639	0 30 34 70 72 78 94 112 120 138 154 160 162 198 202 232	449493623912
STPT(10)	1577574571044829541	0 2 30 32 60 62 90 92 120 122	453793430814