Prime p₀= 1597321551451930697 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: biodoc
db: batch=78, k=10, 2 28 2 10 2

SPT(16)	1597320929578454429	0 68 72 90 98 110 140 180 182 222 252 264 272 290 294 362	-621873476268
STPT(10)	1597320961158457361	0 2 30 32 78 80 126 128 156 158	-590293473336
SPT(16)	1597321038238905043	0 4 28 54 78 100 124 138 256 270 294 316 340 366 390 394	-513213025654
SPT(16)	1597321056993408151	0 12 40 42 48 72 126 130 138 142 196 220 226 228 256 268	-494458522546
STPT(10)	1597321177118974091	0 2 36 38 78 80 120 122 156 158	-374332956606
STPT(10)	1597321518366463529	0 2 12 14 90 92 168 170 180 182	-33085467168
STPT(10)	1597321980279878687	0 2 72 74 102 104 132 134 204 206	428827947990
SPT(16)	1597322198736799837	0 4 24 54 100 102 130 150 214 234 262 264 310 340 360 364	647284869140
STPT(10)	1597322327486947067	0 2 30 32 42 44 54 56 84 86	776035016370
SPT(16)	1597322515172012309	0 14 20 24 74 84 102 120 314 332 350 360 410 414 420 434	963720081612
STPT(10)	1597323348873622397	0 2 30 32 42 44 54 56 84 86	1797421691700