Prime p₀= 2814544106023566041 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 136 2 136 2 28 2 (?)
a_n: 0 2 30 32 168 170 306 308 336 338
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: 338
Found by: Roadranner
db: batch=82, k=10, 2 28 2 136 2

SPT(16)	2814543031505064661	0 42 70 102 106 120 132 156 172 196 208 222 226 258 286 328	-1074518501380
SPT(16)	2814543053511708223	0 34 90 94 126 160 276 280 294 298 414 448 480 484 540 574	-1052511857818
STPT(10)	2814543174102893279	0 2 12 14 90 92 168 170 180 182	-931920672762
STPT(10)	2814543625716827699	0 2 30 32 60 62 90 92 120 122	-480306738342
TPT(14)	2814543827294137229	0 2 18 20 42 44 102 104 132 134 198 200 222 224	-278729428812
STPT(10)	2814544054000765529	0 2 42 44 120 122 198 200 240 242	-52022800512
STPT(10)	2814544141309241351	0 2 6 8 48 50 90 92 96 98	35285675310
STPT(10)	2814544311643432187	0 2 30 32 42 44 54 56 84 86	205619866146
SPT(16)	2814544317063775421	0 26 80 110 116 126 156 168 170 182 212 222 228 258 312 338	211040209380
STPT(10)	2814544324612879277	0 2 42 44 72 74 102 104 144 146	218589313236
SPT(16)	2814544726485094199	0 18 20 72 78 102 128 164 168 204 230 254 260 312 314 332	620461528158