Prime p₀= 2504238136167042599 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: [AF>Le_Pommier] Jerome_C2005
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2504236778587752199	0 12 40 52 82 90 150 154 228 232 292 300 330 342 370 382	-1357579290400
STPT(10)	2504236988973869969	0 2 42 44 120 122 198 200 240 242	-1147193172630
SPT(16)	2504237022580871287	0 34 52 72 76 94 132 156 160 184 222 240 244 264 282 316	-1113586171312
STPT(10)	2504237174970760079	0 2 48 50 90 92 132 134 180 182	-961196282520
SPT(16)	2504237654685000433	0 64 96 124 180 196 220 244 366 390 414 430 486 514 546 610	-481482042166
STPT(10)	2504237685097906787	0 2 30 32 42 44 54 56 84 86	-451069135812
SPT(16)	2504238551309152607	0 6 32 54 56 92 96 102 134 140 144 180 182 204 230 236	415142110008
SPT(16)	2504238624206451323	0 36 48 60 74 140 146 210 224 288 294 360 374 386 398 434	488039408724
SPT(16)	2504238737442806723	0 36 38 90 108 126 128 146 150 168 170 188 206 258 260 296	601275764124
STPT(10)	2504238884034495869	0 2 48 50 60 62 72 74 120 122	747867453270
SPT(16)	2504239097547254311	0 10 30 60 82 88 126 132 136 142 180 186 208 238 258 268	961380211712