Prime p₀= 2599708873912543607 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: JayPi
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2599707965797122797	0 12 24 56 74 80 84 102 134 152 156 162 180 212 224 236	-908115420810
TPT(14)	2599708040354051771	0 2 6 8 48 50 60 62 180 182 210 212 216 218	-833558491836
SPT(16)	2599708192467898747	0 30 46 60 112 120 126 132 184 190 196 204 256 270 286 316	-681444644860
STPT(10)	2599708317793119719	0 2 18 20 30 32 42 44 60 62	-556119423888
TPT(14)	2599708469247704849	0 2 60 62 102 104 108 110 138 140 168 170 222 224	-404664838758
STPT(10)	2599708770665056871	0 2 6 8 18 20 30 32 36 38	-103247486736
SPT(16)	2599709225060885701	0 40 58 82 100 148 178 180 208 210 240 288 306 330 348 388	351148342094
SPT(16)	2599709875429674143	0 14 30 38 50 54 78 80 138 140 164 168 180 188 204 218	1001517130536
STPT(10)	2599709889932333069	0 2 78 80 150 152 222 224 300 302	1016019789462
SPT(16)	2599709917759478077	0 30 72 94 162 220 222 360 394 532 534 592 660 682 724 754	1043846934470
SPT(16)	2599710724024967639	0 42 48 50 92 162 164 168 224 228 230 300 342 344 350 392	1850112424032