Prime p₀= 2313514355554865129 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: Orange Kid
db: batch=81, k=10, 2 16 2 40 2

SPT(16)	2313513032870847133	0 30 76 118 120 126 130 156 160 186 190 196 198 240 286 316	-1322684017996
STPT(10)	2313513059183907941	0 2 6 8 48 50 90 92 96 98	-1296370957188
TPT(14)	2313513123730376369	0 2 48 50 102 104 138 140 168 170 198 200 222 224	-1231824488760
SPT(16)	2313513697975343411	0 8 18 30 62 72 78 98 162 182 188 198 230 242 252 260	-657579521718
STPT(10)	2313513838688236739	0 2 42 44 60 62 78 80 120 122	-516866628390
STPT(10)	2313514160965941221	0 2 36 38 78 80 120 122 156 158	-194588923908
STPT(12)	2313514577833819187	0 2 42 44 60 62 84 86 102 104 144 146	222278954058
STPT(10)	2313514578212582411	0 2 6 8 18 20 30 32 36 38	222657717282
SPT(16)	2313514886536728401	0 42 50 86 120 150 218 258 290 330 398 428 462 498 506 548	530981863272
SPT(16)	2313514930911528203	0 44 66 84 90 96 156 194 210 248 308 314 320 338 360 404	575356663074
SPT(16)	2313515316598334699	0 12 42 168 170 174 224 230 252 258 308 312 314 440 470 482	961043469570