Prime p₀= 2787659713125775907 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: JayPi
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2787658926885770393	0 26 54 126 170 186 224 254 276 306 344 360 404 476 504 530	-786240005514
SPT(16)	2787659067746475301	0 16 18 36 42 78 88 96 112 120 130 166 172 190 192 208	-645379300606
STPT(10)	2787659174871659087	0 2 24 26 42 44 60 62 84 86	-538254116820
STPT(10)	2787659386079515859	0 2 18 20 30 32 42 44 60 62	-327046260048
SPT(16)	2787659396647173463	0 6 46 60 78 90 106 150 154 198 214 226 244 258 298 304	-316478602444
STPT(10)	2787659475992773979	0 2 18 20 60 62 102 104 120 122	-237133001928
SPT(16)	2787659885463979711	0 40 70 100 108 132 202 300 370 468 538 562 570 600 630 670	172338203804
SPT(16)	2787660092028996257	0 36 56 62 80 86 104 146 150 192 210 216 234 240 260 296	378903220350
SPT(16)	2787660299182547179	0 18 30 58 112 114 124 174 178 228 238 240 294 322 334 352	586056771272
STPT(10)	2787660411946231181	0 2 6 8 48 50 90 92 96 98	698820455274
STPT(10)	2787660859030569017	0 2 60 62 72 74 84 86 144 146	1145904793110