Prime p₀= 2565249461793247037 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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: 146
Found by: JayPi
db: batch=82, k=10, 2 52 2 16 2

SPT(16)	2565247195657733989	0 42 48 58 84 94 132 138 154 160 198 208 234 244 250 292	-2266135513048
STPT(10)	2565248066500226477	0 2 30 32 42 44 54 56 84 86	-1395293020560
STPT(12)	2565249048230941691	0 2 36 38 48 50 78 80 90 92 126 128	-413562305346
STPT(10)	2565249091029344021	0 2 30 32 78 80 126 128 156 158	-370763903016
SPT(16)	2565249356143614947	0 60 86 102 122 126 146 204 212 270 290 294 314 330 356 416	-105649632090
STPT(10)	2565249389907065987	0 2 30 32 72 74 114 116 144 146	-71886181050
STPT(10)	2565249624504327557	0 2 24 26 42 44 60 62 84 86	162711080520
STPT(10)	2565249844084235489	0 2 18 20 30 32 42 44 60 62	382290988452
SPT(16)	2565249920983035857	0 44 90 104 110 114 116 176 180 240 242 246 252 266 312 356	459189788820
STPT(10)	2565250508433776039	0 2 30 32 60 62 90 92 120 122	1046640529002
SPT(16)	2565251005682180593	0 18 70 88 120 130 136 150 166 180 186 196 228 246 298 316	1543888933556