Prime p₀= 2291179640544744107 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: Landjunge
db: batch=81, k=10, 2 28 2 40 2

SPT(16)	2291179019583938227	0 22 52 120 126 142 150 172 174 196 204 220 226 294 324 346	-620960805880
STPT(10)	2291179067724046469	0 2 12 14 30 32 48 50 60 62	-572820697638
SPT(16)	2291179127740376857	0 12 42 54 64 70 102 114 130 142 174 180 190 202 232 244	-512804367250
SPT(16)	2291179428995156873	0 56 68 78 98 120 134 176 228 270 284 306 326 336 348 404	-211549587234
SPT(16)	2291179617092873543	0 24 38 66 80 98 126 144 200 218 246 264 278 306 320 344	-23451870564
SPT(16)	2291179633770320747	0 12 32 42 80 102 104 110 186 192 194 216 254 264 284 296	-6774423360
SPT(16)	2291179693212986551	0 10 42 48 52 76 96 126 202 232 252 276 280 286 318 328	52668242444
SPT(16)	2291179875999778853	0 38 50 60 68 96 108 138 146 176 188 216 224 234 246 284	235455034746
STPT(10)	2291179976870182817	0 2 12 14 42 44 72 74 84 86	336325438710
SPT(16)	2291180528536792093	0 34 64 88 106 108 130 154 210 234 256 258 276 300 330 364	887992047986
STPT(10)	2291180650718953457	0 2 60 62 102 104 144 146 204 206	1010174209350