Prime p₀= 1112223298778146967 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: Fardringle
db: batch=76, k=10, 2 22 2 16 2

TPT(14)	1112220863482930247	0 2 60 62 102 104 144 146 180 182 222 224 252 254	-2435295216720
SPT(16)	1112221206015549943	0 24 48 66 70 96 108 124 180 196 208 234 238 256 280 304	-2092762597024
SPT(16)	1112221650307759517	0 12 26 50 122 140 144 180 206 242 246 264 336 360 374 386	-1648470387450
SPT(16)	1112222078612552857	0 4 36 42 46 102 112 130 186 204 214 270 274 280 312 316	-1220165594110
SPT(16)	1112222644421277307	0 34 66 76 84 102 112 132 274 294 304 322 330 340 372 406	-654356869660
SPT(16)	1112222782027786679	0 20 48 50 68 78 84 90 182 188 194 204 222 224 252 272	-516750360288
STPT(10)	1112223692462464469	0 2 18 20 30 32 42 44 60 62	393684317502
STPT(10)	1112224042729490177	0 2 54 56 132 134 210 212 264 266	743951343210
STPT(10)	1112224102938795947	0 2 60 62 72 74 84 86 144 146	804160648980
SPT(16)	1112224410744009359	0 14 18 38 44 62 90 104 108 122 150 168 174 194 198 212	1111965862392
SPT(16)	1112224531820159519	0 20 72 80 138 152 182 210 320 348 378 392 450 458 510 530	1233042012552