Prime p₀= 2515589850783789737 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Hightower
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2515588507938379567	0 12 36 66 82 96 100 126 136 162 166 180 196 226 250 262	-1342845410170
SPT(16)	2515588889753991827	0 20 24 62 66 72 86 144 152 210 224 230 234 272 276 296	-961029797910
STPT(10)	2515589035577100347	0 2 42 44 72 74 102 104 144 146	-815206689390
SPT(16)	2515589156763116453	0 56 78 134 158 174 180 188 216 224 230 246 270 326 348 404	-694020673284
STPT(10)	2515589375561327621	0 2 6 8 48 50 90 92 96 98	-475222462116
STPT(10)	2515589641492663961	0 2 36 38 78 80 120 122 156 158	-209291125776
SPT(16)	2515590195386896841	0 12 42 72 78 80 92 122 126 156 168 170 176 206 236 248	344603107104
SPT(16)	2515590218408042497	0 46 52 64 66 106 112 126 130 144 150 190 192 204 210 256	367624252760
STPT(10)	2515590384643884809	0 2 18 20 30 32 42 44 60 62	533860095072
SPT(16)	2515590394500292553	0 6 20 54 56 66 68 140 204 276 278 288 290 324 338 344	543716502816
SPT(16)	2515591224507809033	0 6 26 56 66 126 174 216 224 266 314 374 384 414 434 440	1373724019296