Prime p₀= 2279085904216738817 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: JonS
db: batch=81, k=10, 2 52 2 16 2

SPT(16)	2279083945599410779	0 12 30 58 78 82 148 162 250 264 330 334 354 382 400 412	-1958617328038
STPT(10)	2279084178467536439	0 2 18 20 30 32 42 44 60 62	-1725749202378
STPT(10)	2279084436460147451	0 2 36 38 78 80 120 122 156 158	-1467756591366
STPT(10)	2279085279395890289	0 2 42 44 60 62 78 80 120 122	-624820848528
SPT(16)	2279085570572652529	0 30 52 72 84 94 108 130 132 154 168 178 190 210 232 262	-333644086288
SPT(16)	2279085677546515241	0 48 50 126 176 186 188 230 288 330 332 342 392 468 470 518	-226670223576
SPT(16)	2279086179007894019	0 54 78 102 110 134 170 194 228 252 288 312 320 344 368 422	274791155202
STPT(10)	2279086697531140097	0 2 30 32 42 44 54 56 84 86	793314401280
SPT(16)	2279087056815587771	0 18 20 36 62 68 90 126 152 188 210 216 242 258 260 278	1152598848954
STPT(10)	2279087266827379049	0 2 18 20 30 32 42 44 60 62	1362610640232
STPT(10)	2279087329890296087	0 2 30 32 42 44 54 56 84 86	1425673557270