Prime p₀= 1286552849017227431 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: Cruncher Pete
db: batch=77, k=10, 2 4 2 40 2

SPT(16)	1286551961375255671	0 10 22 52 90 106 136 150 178 192 222 238 276 306 318 328	-887641971760
SPT(16)	1286552232329735509	0 10 12 22 24 40 42 90 154 202 204 220 222 232 234 244	-616687491922
SPT(16)	1286552469049180343	0 6 30 38 50 66 150 170 174 194 278 294 306 314 338 344	-379968047088
STPT(10)	1286552491837997471	0 2 6 8 48 50 90 92 96 98	-357179229960
SPT(16)	1286552623579044487	0 42 94 96 112 136 144 154 162 172 180 204 220 222 274 316	-225438182944
SPT(16)	1286552781892579237	0 4 22 36 100 102 112 126 130 144 154 156 220 234 252 256	-67124648194
STPT(10)	1286553343044323087	0 2 24 26 42 44 60 62 84 86	494027095656
SPT(16)	1286554223567848559	0 24 78 90 102 104 158 164 168 174 228 230 242 254 308 332	1374550621128
STPT(10)	1286554314937793117	0 2 60 62 72 74 84 86 144 146	1465920565686
STPT(10)	1286554362535220027	0 2 12 14 42 44 72 74 84 86	1513517992596
SPT(16)	1286554559912533027	0 4 30 54 102 124 184 190 246 252 312 334 382 406 432 436	1710895305596