Prime p₀= 2787029684386646057 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: JayPi
db: batch=82, k=10, 2 58 2 10 2

STPT(12)	2787029029330228127	0 2 30 32 42 44 90 92 102 104 132 134	-655056417930
SPT(16)	2787029222442257201	0 2 36 48 122 126 146 156 182 192 212 216 290 302 336 338	-461944388856
SPT(16)	2787029275376561221	0 18 28 40 76 96 118 136 252 270 292 312 348 360 370 388	-409010084836
SPT(16)	2787029425295555743	0 18 36 64 76 114 120 150 154 184 190 228 240 268 286 304	-259091090314
SPT(16)	2787029436422996287	0 24 34 40 52 94 96 106 150 160 162 204 216 222 232 256	-247963649770
STPT(10)	2787029565645150641	0 2 6 8 48 50 90 92 96 98	-118741495416
STPT(10)	2787030113803433501	0 2 90 92 150 152 210 212 300 302	429416787444
SPT(16)	2787030351669480481	0 10 82 102 132 162 168 196 312 340 346 376 406 426 498 508	667282834424
STPT(10)	2787030378236011907	0 2 24 26 42 44 60 62 84 86	693849365850
STPT(10)	2787030550434780677	0 2 30 32 42 44 54 56 84 86	866048134620
STPT(10)	2787030653639925359	0 2 18 20 30 32 42 44 60 62	969253279302