Prime p₀= 2069876666341116251 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 58 2 58 2 46 2 (?)
a_n: 0 2 48 50 108 110 168 170 216 218
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: 218
Found by: kashi
db: batch=80, k=10, 2 46 2 58 2

TPT(14)	2069874150725457467	0 2 24 26 42 44 84 86 150 152 282 284 312 314	-2515615658784
TPT(14)	2069874711095322491	0 2 6 8 126 128 258 260 330 332 336 338 348 350	-1955245793760
SPT(13)	2069875001606358181	0 6 30 72 120 132 186 240 252 300 342 366 372	-1664734758070
SPT(16)	2069875423418576533	0 6 28 78 88 90 96 114 130 148 154 156 166 216 238 244	-1242922539718
SPT(16)	2069875635792353839	0 52 58 90 142 150 154 178 234 258 262 270 322 354 360 412	-1030548762412
SPT(16)	2069875861300713383	0 14 66 98 140 170 180 198 206 224 234 264 306 338 390 404	-805040402868
STPT(10)	2069876722608517787	0 2 30 32 42 44 54 56 84 86	56267401536
SPT(16)	2069876867681072243	0 6 24 50 54 66 96 164 180 248 278 290 294 320 338 344	201339955992
SPT(16)	2069877032582839583	0 8 24 56 60 78 110 164 180 234 266 284 288 320 336 344	366241723332
STPT(10)	2069877278824770599	0 2 30 32 60 62 90 92 120 122	612483654348
SPT(16)	2069877514466872897	0 10 36 42 52 70 94 106 120 132 156 174 184 190 216 226	848125756646