Prime p₀= 2774809393392403667 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: JonS
db: batch=82, k=10, 2 22 2 16 2

STPT(10)	2774808675027296987	0 2 60 62 102 104 144 146 204 206	-718365106680
STPT(10)	2774808806996808467	0 2 30 32 72 74 114 116 144 146	-586395595200
SPT(16)	2774808900780273649	0 18 34 108 172 174 208 222 250 264 298 300 364 438 454 472	-492612130018
SPT(16)	2774809037568798199	0 34 54 78 120 132 138 154 168 184 190 202 244 268 288 322	-355823605468
SPT(16)	2774809201281883951	0 42 52 70 108 118 126 138 190 202 210 220 258 276 286 328	-192110519716
SPT(16)	2774809382463295633	0 10 36 60 66 78 84 108 166 190 196 208 214 238 264 274	-10929108034
SPT(16)	2774809809920081441	0 2 32 110 138 146 170 180 188 198 222 230 258 336 366 368	416527677774
SPT(16)	2774810146487528983	0 36 58 88 96 114 144 150 184 190 220 238 246 276 298 334	753095125316
SPT(16)	2774810250558328243	0 16 30 60 70 78 88 94 120 126 136 144 154 184 198 214	857165924576
STPT(10)	2774810697614833061	0 2 30 32 60 62 90 92 120 122	1304222429394
STPT(10)	2774810719953093317	0 2 12 14 42 44 72 74 84 86	1326560689650