Prime p₀= 2137028184685268057 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Landjunge
db: batch=80, k=10, 2 28 2 10 2

STPT(10)	2137027612916337527	0 2 12 14 42 44 72 74 84 86	-571768930530
SPT(16)	2137027676293337701	0 48 58 60 70 102 112 126 172 186 196 228 238 240 250 298	-508391930356
STPT(10)	2137027793236093661	0 2 36 38 78 80 120 122 156 158	-391449174396
SPT(16)	2137027897225896797	0 2 14 20 24 50 72 84 92 104 126 152 156 162 174 176	-287459371260
STPT(10)	2137027984890579839	0 2 42 44 60 62 78 80 120 122	-199794688218
TPT(14)	2137028015646130091	0 2 6 8 18 20 78 80 198 200 216 218 288 290	-169039137966
SPT(16)	2137028238425885377	0 4 94 102 112 130 132 136 150 154 156 174 184 192 282 286	53740617320
STPT(10)	2137028779126182059	0 2 18 20 30 32 42 44 60 62	594440914002
SPT(16)	2137028847567743383	0 28 60 66 88 130 160 184 270 294 324 366 388 394 426 454	662882475326
SPT(16)	2137029156255615481	0 10 16 48 58 72 82 90 118 126 136 150 160 192 198 208	971570347424
SPT(20)	2137029280058290411	0 22 28 58 78 82 126 136 156 178 180 202 222 232 276 280 300 330 336 358	1095373022354