Prime p₀= 2397257246751361637 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: [SG-2W]Kurzer
db: batch=81, k=10, 2 22 2 16 2

STPT(10)	2397255690333340937	0 2 90 92 102 104 114 116 204 206	-1556418020700
TPT(14)	2397256098305645849	0 2 30 32 72 74 180 182 198 200 228 230 270 272	-1148445715788
TPT(14)	2397256319989053449	0 2 42 44 120 122 132 134 258 260 288 290 420 422	-926762308188
SPT(16)	2397256347836924999	0 8 14 32 90 98 102 104 138 140 144 152 210 228 234 242	-898914436638
SPT(16)	2397257074808750669	0 12 20 42 50 60 120 152 162 194 254 264 272 294 302 314	-171942610968
SPT(16)	2397257094677868889	0 34 48 64 88 148 154 264 274 384 390 450 474 490 504 538	-152073492748
SPT(18)	2397257515216433153	0 44 56 104 126 170 180 194 204 230 240 254 264 308 330 378 390 434	268465071516
STPT(10)	2397257749468367879	0 2 18 20 30 32 42 44 60 62	502717006242
STPT(10)	2397257886477250931	0 2 36 38 78 80 120 122 156 158	639725889294
SPT(16)	2397258094064272693	0 30 48 66 78 150 156 220 426 490 496 568 580 598 616 646	847312911056
TPT(14)	2397258145452928421	0 2 186 188 210 212 228 230 240 242 336 338 360 362	898701566784