Prime p₀= 2512849315906553381 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: JayPi
db: batch=82, k=10, 2 4 2 10 2

SPT(18)	2512847687079408221	0 2 8 36 50 78 86 98 132 176 210 222 230 258 272 300 306 308	-1628827145160
STPT(10)	2512848443866589357	0 2 12 14 42 44 72 74 84 86	-872039964024
SPT(16)	2512848451789205741	0 12 56 68 72 80 96 110 168 182 198 206 210 222 266 278	-864117347640
SPT(16)	2512848565865130191	0 30 56 66 86 132 138 156 182 200 206 252 272 282 308 338	-750041423190
SPT(16)	2512848705116846221	0 10 46 60 102 108 126 132 136 142 160 166 208 222 258 268	-610789707160
SPT(16)	2512849203463538777	0 6 14 50 74 80 102 126 140 164 186 192 216 252 260 266	-112443014604
SPT(16)	2512849536402568591	0 16 28 30 78 82 90 96 142 148 156 160 208 210 222 238	220496015210
SPT(16)	2512850495958084869	0 20 30 42 44 68 90 104 108 122 144 168 170 182 192 212	1180051531488
SPT(16)	2512850504087790761	0 12 20 30 42 72 96 116 126 146 170 200 212 222 230 242	1188181237380
STPT(10)	2512850564600325797	0 2 12 14 42 44 72 74 84 86	1248693772416
TPT(14)	2512850611380455207	0 2 24 26 42 44 162 164 234 236 264 266 294 296	1295473901826