Prime p₀= 1414644824361805217 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: marmot
db: batch=78, k=10, 2 22 2 16 2

SPT(16)	1414643921242146797	0 42 60 86 104 116 122 140 156 174 180 192 210 236 254 296	-903119658420
SPT(16)	1414644011593578173	0 20 38 44 84 114 134 204 260 330 350 380 420 426 444 464	-812768227044
TPT(14)	1414644061791732017	0 2 42 44 162 164 204 206 240 242 252 254 264 266	-762570073200
SPT(20)	1414644124073906149	0 4 40 42 58 78 84 88 112 130 222 240 264 268 274 294 310 312 348 352	-700287899068
SPT(16)	1414644224768537149	0 30 88 90 118 154 160 184 228 252 258 294 322 324 382 412	-599593268068
SPT(16)	1414644236491948019	0 54 78 98 104 132 134 180 182 228 230 258 264 284 308 362	-587869857198
STPT(10)	1414645650578647769	0 2 42 44 60 62 78 80 120 122	826216842552
SPT(16)	1414645755549354287	0 32 50 72 126 134 192 222 224 254 312 320 374 396 414 446	931187549070
STPT(10)	1414646257415737319	0 2 42 44 180 182 318 320 360 362	1433053932102
STPT(10)	1414646422450655237	0 2 30 32 42 44 54 56 84 86	1598088850020
SPT(16)	1414646452484390443	0 28 40 96 118 120 138 160 246 268 286 288 310 366 378 406	1628122585226